a yo-yo is constructed of three disks: two outer disks of mass m, radius r and thickness d, and an inner disk of mass m, radius r and thickness d. the yo-yo is suspended from the ceiling and then released with the string vertical. calculate the tension in the string as the yo-yo falls. note that when the center of the yo-yo moves down a distance y, the yo-yo turns through an angle y/r, which in turn means that the angular speed w is equal to vcm/4

Answers

Answer 1

The tension in the string as the yo-yo falls is given by the equation T = 2mg.

How is the tension in the string related to the mass of the yo-yo?

When the yo-yo falls, it experiences a downward gravitational force equal to the weight of the yo-yo, which is given by mg, where m is the mass of each disk. Since there are two outer disks and one inner disk, the total weight is 2mg.

The tension in the string provides an upward force to counteract the weight of the yo-yo. To keep the yo-yo in equilibrium, the tension in the string must be equal to the weight of the yo-yo. Therefore, the tension in the string is also equal to 2mg.

Learn more about tension

brainly.com/question/10169286

#SPJ11

Related Questions

A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0. 600m and a mass of 4. 50g.

What is the frequency f1 of the string's fundamental mode of vibration?

Express your answer numerically in hertz using three significant figures

Answers

The frequency f₁ of the string's fundamental mode of vibration is approximately 96 Hz, expressed to three significant figures.

The formula used to determine the frequency of a string's fundamental mode of vibration is given by:

f₁ = (1/2L) √(T/μ)

where:

f₁ is the frequency of the string's fundamental mode of vibration

L is the length of the string

T is the tension in the string

μ is the linear mass density of the string

Given values:

L = 0.600 m

T = 765 N

μ = 0.0075 kg/m

By substituting the values into the formula:

f₁ = (1/2L) √(T/μ)

f₁ = (1/2 × 0.600 m) √(765 N/0.0075 kg/m)

f₁ = (0.300 m) √(102000 N/m²)

f₁ = (0.300 m) (319.155)

f₁ = 95.746 Hz ≈ 96 Hz

Learn more about string's fundamental mode here:-

https://brainly.com/question/29725169

#SPJ11

the neurons that select a particular motor program are the . lower motor neurons upper motor neurons in the premotor cortex neurons in the basal nuclei neurons in the cerebellum

Answers

Main answer: The neurons that select a particular motor program are the upper motor neurons in the premotor cortex.

The selection and initiation of specific motor programs in the body are primarily controlled by the upper motor neurons located in the premotor cortex. The premotor cortex, which is a region of the frontal lobe in the brain, plays a crucial role in planning and coordinating voluntary movements. These upper motor neurons receive inputs from various areas of the brain, including the primary motor cortex, sensory regions, and the basal ganglia, to generate the appropriate motor commands.

The premotor cortex acts as a hub for integrating sensory information and translating it into motor commands. It receives input from sensory pathways that carry information about the current state of the body and the external environment. This sensory input, along with the information from other brain regions, helps the premotor cortex determine the desired motor program required to accomplish a particular task.

Once the appropriate motor program is selected, the upper motor neurons in the premotor cortex send signals down to the lower motor neurons in the spinal cord and brainstem. These lower motor neurons directly innervate the muscles and execute the motor commands generated by the premotor cortex. They act as the final link between the central nervous system and the muscles, enabling the execution of coordinated movements.

In summary, while several brain regions are involved in motor control, the upper motor neurons in the premotor cortex play a critical role in selecting and initiating specific motor programs. They integrate sensory information and coordinate with other brain regions to generate motor commands, which are then executed by the lower motor neurons. Understanding this hierarchy of motor control is essential for comprehending the complexity of voluntary movements.

Learn more about: premotor cortex

brainly.com/question/28235629

#SPJ11

g what form would the general solution xt() have? [ii] if solutions move towards a line defined by vector

Answers

The general solution xt() would have the form of a linear combination of exponential functions. If the solutions move towards a line defined by a vector, the general solution would be a linear combination of exponential functions multiplied by polynomials.

In general, when solving linear homogeneous differential equations with constant coefficients, the general solution can be expressed as a linear combination of exponential functions. Each exponential function corresponds to a root of the characteristic equation.

If the solutions move towards a line defined by a vector, it means that the roots of the characteristic equation are all real and equal to a constant value, which corresponds to the slope of the line. In this case, the general solution would include terms of the form e^(rt), where r is the constant root of the characteristic equation.

To form the complete general solution, additional terms in the form of polynomials need to be included. These polynomials account for the presence of the line defined by the vector. The degree of the polynomials depends on the multiplicity of the root in the characteristic equation.

Overall, the general solution xt() in this scenario would have a combination of exponential functions multiplied by polynomials, where the exponential functions account for the movement towards the line defined by the vector, and the polynomials account for the presence of the line itself.

Learn more about: exponential functions

brainly.com/question/29287497

#SPJ11

a racquetball strikes a wall with a speed of 30 m/s and rebounds in the opposite direction with a speed of 1 6 m/s. the collision takes 5 0 ms. what is the average acceleration (in unit of m/s 2 ) of the ball during the collision with the wall?

Answers

The average acceleration of the racquetball during the collision with the wall is -280 m/s^2.

To find the average acceleration of the racquetball during the collision with the wall, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time

Given that the racquetball strikes the wall with an initial speed of 30 m/s and rebounds with a final speed of 16 m/s, and the collision takes 50 ms (or 0.05 s), we can substitute these values into the formula:
Average acceleration = (16 m/s - 30 m/s) / 0.05 s
Simplifying this equation, we get:

Average acceleration = (-14 m/s) / 0.05 s
Dividing -14 m/s by 0.05 s gives us an average acceleration of -280 m/s^2. The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, which means the ball is decelerating during the collision.
Therefore, the average acceleration of the racquetball during the collision with the wall is -280 m/s^2.
The average acceleration of the racquetball during the collision with the wall can be found using the formula:

average acceleration = (final velocity - initial velocity) / time. Given that the initial speed is 30 m/s, the final speed is 16 m/s, and the collision takes 50 ms (or 0.05 s), we can substitute these values into the formula. By subtracting the initial velocity from the final velocity and dividing by the time, we find that the average acceleration is -280 m/s^2.

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, meaning the ball is decelerating during the collision.

You can read more about velocity at https://brainly.com/question/80295

#SPJ11

Other Questions

Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the curve x=yy^3and the y-axis about the given axes. a. The x-axis b. The line y=1 a. The volume is (Type an exact answer in terms of .) Explain the reason for moving from stop and wai (ARQ protocol to the Gezbackay ARO peotsced (2 points) 2. Define briefly the following: ( 6 points) - Data link control - Framing and the reason for its need - Controlled access protocols 3. Define piggybacking and is usefuiness (2 points): Which function is most likely graphed on the coordinate plane below? a) f(x) = 3x 11 b) f(x) = 4x + 12 c) f(x) = 4x + 13 d) f(x) = 5x 19 What is the use of pancreas in the human body Find the area of the shaded region. The graph to the right depicts 10 scores of adults. and these scores are normally distributhd with a mean of 100 . and a standard deviation of 15 . The ates of the shaded region is (Round to four decimal places as needed.) 1. Imagine that you are the President of the United States on September 12, 2001. In the wake of the terrorist attacks, you will have to make several tough decisions. write about what decisions you would make to defend the American people in the wake of the attack,Be sure to include the following in your answer:At least three actions which you would take, (make sure that at least two of these actions come from the lesson).A defense of why these actions are justified.2. After reading about the Political Parties of the United States, describe which party you would most affiliate with and why.Be sure to include the following in your answer:At least two reasons why you chose this partyOne reason why you feel it is the best party to represent the nation Imagine you are a new manager at the SNHU Pet Supply Company. The company has grown from a small, local pet-supply company into a large organization with locations in Manchester, New Hampshire and Denver, Colorado. It also employs remote staff. The manager you are replacing was with the team for two years and left on negative terms, which exacerbated an already concerning team culture.You have been asked to present a management plan that addresses identified areas of concern, rebuilds the teams culture, and aligns organizational practices to leadership.Leadership has provided you with a management brief that outlines the key pieces of information you will need in order to make informed recommendations.Use the Presentation Template to create presentation slides that highlight key pieces of information, and use the Speaker Notes Template to outline what you would say when presenting your recommendations in a future meeting with leadership. Both templates are located in the What to Submit section.Team ManagementLeadership and Management: Describe leadership and management practices that you feel would be best suited to manage the team. Explain why you believe these practices are in alignment with the organizations mission, culture, and goals, as well as how they would be effective in improving the teams culture.Followership: Explain how you would leverage your strengths as a leader to strengthen the teams effectiveness and culture. Also explain how your strengths could be used to develop followership within your team.Decision-Making Models: Describe decision-making models that you believe will be the most effective for the team and management approach and their alignment with the organization, as well as how they would be effective in improving the teams culture.Emotional Intelligence: Describe considerations for ensuring your management practices are emotionally intelligent and inclusive of diverse perspectives, needs, and roles within your team. Explain why you believe they are in alignment with the organization and how they would be effective in improving the teams culture.Communication and Collaboration Across FunctionsForms and Functions: Explain how the various forms and functions of the organization impact the team; also explain how the team impacts the various forms and functions across the organization.Communication Practices: Describe the strengths and weaknesses of the current communication practices being used across functions, and recommend better ways to communicate that meet the organizations needs.Organizational Mission, Vision, and Goals: Explain the general purpose of organizational missions, culture statements, and goals and what these three things say about the way an organization should operate. Take organizational structure, leadership and management approaches, and diversity and inclusion practices into account when considering an operation. Prove or disprove GL(R,2) is Abelian group recent work with type i supernovae at great distances suggests the universe may in fact be accelerating its expansion, a discovery attributed to a newly found: What kind of access does RNA Polymerase have to heterochromatin?A.) NoneB.) ModerateC.) EasyD.) Varied by chromosomeE.) Permanent Given are the following data for year 1: Profit after taxes = $5 million; Depreciation = $2 million; Investment in fixed assets = $4 million; Investment net working capital = $1 million. Calculate the free cash flow (FCF) for year 1:Group of answer choices$7 million.$3 million.$11 million.$2 million. Information about the structure or assembly is provided in the ______. Prior to liquidating their partnership, Ken and Andy had capital accounts of $60,000 and $102,000, respectively. Prior to liquidation, the partnership had no other cash assets than what was realized from the sale of assets. These assets were sold for $218,000. The partnership had $22,000 of liabilities. Ken and Andy share income and losses equally. Determine the amount received by Andy as a final distribution from the liquidation of the partnership. Part C2 - Oxidation with Benedict's Solution Which of the two substances can be oxidized? What is the functional group for that substance? Write a balanced equation for the oxidation reaction with chr A company sold 152 bikes at $225 each. The bikes carry a 3-year warranty for defects. The company estimates that repair costs will average 5% of the total selling price. The estimated warranty liability at the beginning of the year was $1,400 and $1,900 in claims were actually incurred during the year to honor the warranty. What was the ending balance in the estimated warranty liability account?. Explain the reasons for a company to fail in digital transformation.(Enterprise system and Architecture) The COMMON law system is the system of law that courts follow in the U.S. It was borrowed from the British system and still exists in most countries that were once part of or still are part of the British Empire. In the COMMON law system, judges follow old decisions of previous courts if the facts and circumstances are the same. These old cases are called PRECEDENT, a phrase you've probably heard before. However, one you probably haven't heard is the fancy Latin phrase STARE DECISIS, which means literally "stand" and decide," or roughly "Let the decision stand," another way of saying that old cases and the judge's decisions, or holdings, in them, should be followed by future courts. Let L and M be linear partial differential operators. Prove that the following are also linear partial differential operators: (a) LM, (b) 3L, (c) fL, where is an arbitrary function of the independent variables; (d) Lo M. 2) We are given that the line y=3x-7 is tangent to the graph of y = f(x) at the point (2, f(2)) (and only at that point). Set 8(x)=2xf(x).a) What is the value of f(2)? C++Code the statement that declares a character variable and assigns the letter H to it.Note: You do not need to write a whole program. You only need to write the code that it takes to create the correct output. Please remember to use correct syntax when writing your code, points will be taken off for incorrect syntax.