Homework #4

# Homework #4 - þ7 ã#Áï

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Unformatted text preview: þ7########,############### ã##Áï###### ¡#######D##################¢##7##¢##7##¼#####¼#####¼#####¼## ##¼Ü####¼Ü####¼Ü####¼ì####¼ü####½#####½##P##½h#x##¼.#®##½à# ##¾#####À¡ #*##À¯#þ##¼#########À¡####¾##m##À¡####À¡####Á#B##À¡####À¡####À¡####À¡####À¡####À¡ ####1. An empty crate of mass m is in contact with the inner wall of a spinning cylinder. The crate and cylinder rotate together just fast enough that the empty crate does not fall.A. i. Draw an arrow on the diagram at right to show the direction of the acceleration of the crate, as measured by an outside observer. If the acceleration is zero, state that explicitly.# ii. Draw a free-body diagram for the empty crate. Label each force, clearly showing:¥ the type of force (gravitational, tension, etc.)¥ the object upon which the force is exerted, and¥ the object exerting the force.Free-body diagram for the empty crate¥B The empty crate is now filled so that (together with its contents) it has a mass of 2m. The full crate is placed inside the cylinder so that initially it rotates together with the cylinder at the same rate as in part A. (Recall that this rate was just fast enough for the empty crate not to fall.)# i. Is the horizontal component of the crateÕs acceleration greater than, less than, or equal to that of the empty crate? If it is zero , state that explicitly. Explain your reasoning. ii. [How do the forces exerted on the full crate differ from those exerted on the empty crate? For each force that is different (in magnitude, direction, or both), explain how you know that it is different. iii. Will the full crate remain at the same height against the wall of the cylinder without falling? Explain your reasoning. #2. Consider two crates, A and B, in an elevator as shown. The mass of crate A is greater than the mass of crate B.A. The elevator moves downward at constant speed. i. In the space provided below, draw a separate free-body diagram for each crate while the elevator is moving downward at constant speed. Label your diagrams as instructed in tutorial.#ii. Rank all the forces on your free-body diagrams according to magnitude, from largest to smallest. Explain your reasoning, including how you used NewtonÕs second and third laws. B. As the elevator approaches its destination, its speed decreases (while still moving downward). i. Rank the forces on the two crates according to magnitude, from largest to smallest. Explain your reasoning, including how you used NewtonÕs second and third laws. ii. How does the magnitude of the net force on block A compare to the magnitude of the net force on block B in this case? If the net force on either block is zero, state that explicitly. Explain your reasoning....
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## This document was uploaded on 10/29/2011 for the course PHSX 301 at MSU Bozeman.

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Homework #4 - þ7 ã#Áï

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