Exam4F06a

# Exam4F06a - 1 A simple pendulum consists of a point-like...

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1. A simple pendulum consists of a point-like mass M at the end of a light string of length R =3.6 m. The mass is initially held at an angle of è =70 from vertical, then released. The mass swings down until the 0 string is vertical, where it strikes a small clay ball of mass 2M. The clay sticks to the end of the pendulum, and now both masses form a simple pendulum that executes simple harmonic oscillations. a) Determine the speed of the mass M when the string is vertical, just before it hits the clay ball. 6.81 m/s b) Find the maximum angle (from vertical) at which the pendulum stops (momentarily) for the first time after the completely inelastic collision. 22.0 0 c) How long does it take for the pendulum to swing back from this maximum angle to the point where the string is again (momentarily) vertical for the first time after the collision? (Assume that the maximum angle is small enough for simple harmonic motion.) 0.952 s d) Now let the mass M be a spherical shell of radius R= R /2 that is not small. Repeat part a) to find the speed of the center of mass of the sphere when the string is vertical after starting from rest at angle è =70 . 0 6.31 m/s

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2. Fill in the blank with the most appropriate answer to the following questions. Use SI units. a) A frictionless ice cube is initially at rest on top of a spherical globe. The globe has radius R =8.2 m. The ice cube starts to slide along the surface of the globe (with an initial speed of zero at the top of the globe). The ice cube then leaves the surface of the globe and hits the ground a horizontal distance D away from the bottom point of the globe. The speed of the ice cube just before it hits the ground is: 17.9 m/s. b) A suitcase of mass M=2.0 kg is at rest on level ground. The coefficient of friction between the suitcase and the ground is ì =0.70. You pull on a strap that is attached to the suitcase at an angle of è =75 above 0 horizontal. The force necessary to move the suitcase at a constant speed by pulling up at this angle è is: 14.7 N.
2 (continued). Fill in the blank with the most appropriate answer to the following questions. Use SI units.

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## This note was uploaded on 05/11/2008 for the course PHY 121 taught by Professor Chamberlin during the Spring '08 term at ASU.

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Exam4F06a - 1 A simple pendulum consists of a point-like...

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