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- Use at least 4 significant figures throughout the entire problem. 9.80m/s2 for the acceleration due to gravity. Do not use 10 m/s2 for the acceleration due to gravity.Refer to the question below.Start with a freely rotating hoop-like wheel of mass m = 30kg and radius 25cm, rotating at 125 rpm.1. Sketch this wheel, write out equations for and calculate it’s L and rotational KE.The wheel hits the ground, bounces and skids while negative accelerating, eventually locking to the ground so that its linear velocity equals its rotational velocity times its radius.2. Write this (roll no slip) equation. Sketch this final rolling wheel on the ground, include a vector for the linear velocity.3. Write an equation conserving angular momentum before and after the drop. Solve your equation for final angular velocity (both algebra and a number). Briefly explain.4. Solve for final rotational and linear kinetic energy and compare to initial rotational energy. How much energy was lost during the skidding process? (Formula and number).
- A 40-N weight hangs from a (massless inelastic) cord that runs around the outside of a pulley. The pulley is a uniform solid disk of radius 12.8 cm and mass 6.5 kg. You may assume the system is released from rest. Determine the angular acceleration of the pulley. Express your answer in rad/s², to at least one digit after the decimal point. 40 NPlease answer question 2MII-1 Consider a solid disk of mass M and radius R, which has a uniform density. a) The disk is rotated about an axis that goes through its center and is perpendicular to its face, as shown in the diagram below on the left. Find a formula for its moment of inertia. Your answer should be a symbolic expression that only depends on the variables M and R. Hint: you will need to divide the disk into infinitesimal mass elements (dm) and then perform the integral: r?dm b) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part a) to calculate a numerical value for the moment of inertia, in kg m2. c) Now the axis of rotation is moved from the center of the disk to the end of the disk, as shown in the diagram below on the right. Find an expression for its moment of inertia. Hint: theorem. As before, your answer should only depend on the variables M and R. d) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part c) to…
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