Blocks of mass m1 and m2 are connected by a light string over a pulley, as shown. A) Find an expression for the acceleration of block m2 if the pulley is massless and frictionless, and the surface is frictionless. B) repeat part a for the case where the surface has coefficient of friction µ and the pulley is a frictionless disk with mass M and radius R. (can you answer both a and b, thank you)

Blocks of mass m1 and m2 are connected by a light string over a pulley, as shown. A) Find an expression for the acceleration of block m2 if the pulley is massless and frictionless, and the surface is frictionless. B) repeat part a for the case where the surface has coefficient of friction µ and the pulley is a frictionless disk with mass M and radius R. (can you answer both a and b, thank you)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 56PQ: Consider the Earth and the Moon as a two-particle system. a. Find an expression for the...

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Blocks of mass m1 and m2 are connected by a light string over a pulley, as shown. A) Find an expression for the acceleration of block m2 if the pulley is massless and frictionless, and the surface is frictionless. B) repeat part a for the case where the surface has coefficient of friction µ and the pulley is a frictionless disk with mass M and radius R.
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A large globe has a radius R and a frictionless surface. A small block of mass m slides starts from rest at the very top of the globe and slides along the surface of the globe. The block leaves the surface of the globe when it reaches a height hcrit above the ground. The geometry of the situation is shown in the figure for an arbitrary height h. (Figure 1) a) Using Newton's 2nd law, find vcrit, the speed of the block at the critical moment when the block leaves the surface of the globe. (Assume that the height at which the block leaves the surface of the globe is hcrit) Express the speed in terms of R, hcrit, and g, the magnitude of the acceleration due to gravity. Do not use theta in your answer. b) Use the law of conservation of energy to find vcrit. This will give you a different expression for vcrit than you found in the previous part. Express vcrit in terms of R, hcrit, and g. c) Find hcrit, the height from the ground at which the block leaves the surface of the globe. Express…
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If you are having trouble opening a stuck jar lid, you can use a rubber pad to help you grip the lid and twist. Explain the purpose of the rubber pad and how it helps you to unscrew the lid. (Assume that the rubber pad has negligible thickness, i.e. it will not increase the radius of the jar a. lid.) b. In Case A, a ball is released from rest at the top of a frictionless hill of height h. In Case B, an identical ball is released from rest at the top of a hill of height h with sufficient friction that the ball can roll without slipping. In which case does the center of mass of the ball have a larger speed at the bottom of the hill or is it the same in both cases? Explain.
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