1. Describe the effect of increasing the mass m of the falling mass. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Increase, decrease, or remains constant? Explain.

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Chapter1: Units, Trigonometry. And Vectors
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Simulation #2: Questions

1. Describe the effect of increasing the mass m of the falling mass. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Increase, decrease, or remains constant? Explain.

2. Describe the effect of increasing the pulley mass M. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Explain.

3. Reset the system to the initial conditions. The pulley’s shape is initially similar to a thin hollow cylinder with outer radius Ro and inner radius Ri. Increase only the outer radius Ro. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? How does the torque t on the pulley change? Explain.

4. Reset the system to the initial conditions. Keep the outer radius at Ro=100mm and decrease the inner radius to zero (Ri =0) to make the pulley a solid cylinder. Compare the motion of the solid cylinder to that of the initial hollow cylinder of the same size (Ro=100mm and Ri=90mm). Is the acceleration greater for the solid cylinder or the hollow cylinder? Which has the largest moment of inertia I? Explain.

5. Reset the system to the initial conditions. Use the initial conditions for questions #5-7. From the position and velocity graphs of the falling mass, calculate the acceleration a of the falling mass. Show your work. Use your knowledge from previous chapters and your answers from simulation #1.

6. Solve for tension FT in the equation of motion #1. Calculate the force of tension FT using your acceleration value in question 5. Show your work.

7. Using the equation of motion #2, solve for the moment of inertia I of the pulley. What is the relationship between linear tangential acceleration a and angular acceleration a? Calculate the moment of inertial I of the pulley. Show your work.

8. Change the acceleration of gravity to be that on Mars. Using the moment of inertia I of the pulley you calculated in question 7, calculate the acceleration of gravity on Mars. Show your work.

(for question 1 to 5 I apploaded a picture..)

please help....

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