final_exam_practice

# final_exam_practice - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 2007 Practice Problems Final Exam Part One: Concept Questions Problem 1: A small cylinder rests on a circular turntable, rotating at a constant speed as illustrated in the diagram below. Which of the vectors 1-5 below best describes the velocity, acceleration and net force acting on the cylinder at the point indicated in the diagram?

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2 Problem 2: A hollow cylinder starts from rest and rolls without slipping down an incline. Which of the following best describes the force of friction? 1. The force of friction is kinetic friction, with f = μ k N . 2. The force of friction is static friction, with f = s N . 3. The force of friction is static friction, with f equal to the force necessary to prevent slipping, up to a maximum of f max = s N . 4. The friction is zero because the cylinder rolls without slipping.
3 Problem 3: The figure below depicts the path of two colliding steel balls, A and B . Which of the arrows 1-5 best represents the impulse applied to ball B by ball A during the collision? Problem 4: An object is dropped to the surface of the earth from a height of 10m . Which of the following sketches best represents the kinetic energy of the object as a function of time as it approaches the earth if friction can be neglected? 1. a 2. b 3. c 4. d 5. e

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4 Problem 5: A bicycle wheel is initially spinning with non-zero angular speed about the center of mass. The wheel is lowered to the ground without bouncing. As soon as the wheel touches the level ground, the wheel starts to accelerate forward until it begins to roll without slipping. S denotes a point on the ground along the line of contact between the wheel and the surface. From the moment the wheel touches the ground until it just begins to roll without slipping, the angular momentum is 1. constant about the wheel’s center of mass. 2. constant about the point S . 3. constant about both the wheel’s center of mass and the point S . 4. changing about both the wheel’s center of mass and the point S . Problem 6: A puck of mass M is moving in a circle at uniform speed on a frictionless table as shown below. The puck is attached to a massless, frictionless string that passes through a hole in the table and which is in turn attached to a suspended bob, also of mass M , at rest below the table. What is the magnitude of the centripetal acceleration of the moving puck? 1. Less than g . 2. Equal to g . 3. Greater than g . 4. Zero 5. Insufficient information
5 Problem 7: A tetherball is attached to a post by a string. The string passes through a hole in the center of the post at the top. The string is gradually shortened by drawing it through the hole. Ignore gravity. Until the ball hits the post, 1. the energy and angular momentum about the center of the post are constant.

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## This note was uploaded on 04/13/2011 for the course PHYSICS 8.01 taught by Professor Guth during the Fall '09 term at MIT.

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final_exam_practice - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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