Problem Set 1: Problem 8.
Problem: Car A begins from rest at time t = 0, with constant acceleration a. Car B is moving in the opposite direction at a constant speed v = -V and, at t = 0, begins constant deceleration 1 a, i.e., 3 = 1 . The distance between

5.19. CHAPTER 5, PROBLEM 19
257
5.19 Chapter 5, Problem 19
Problem: A ball initially at rest falls from a height H above a flat surface. If the coefficient of restitution between the ball and the surface is e, to what height, h, does it rebound on the fir

NAME: Exam One: Monday/Wednesday Class September 23, 2009 1. (30 Points) RECTILINEAR MOTION
SCORE: AME 301: Fall 2009 D. C. Wilcox
2 The acceleration of sliding block A is a = vo v2 / , where is a constant time scale and vo is a constant velocity to be de

280
CHAPTER 6. SYSTEMS OF PARTICLES
6.4 Chapter 6, Problem 4
Problem: A man of mass 4m is initially standing at one end of a canoe of mass m. Then, he moves to the opposite end of the canoe. The length of the canoe is L and it is perfectly symmetric about

160
CHAPTER 2. PARTICLE KINEMATICS
2.54 Chapter 2, Problem 54
Problem: A girl riding on a ferris wheel throws a ball with initial speed vo = 1 R i + vo k, relative 2 to the rotating wheel. She catches the ball at a time when her seat is at an angle to the

174
CHAPTER 2. PARTICLE KINEMATICS
2.62 Chapter 2, Problem 62
Problem: Consider the vectors A = x i + x1 j and B = x i + x2 j. Compute the first derivative of A B with respect to x by forming the cross product and differentiating. Verify that the chain ru

184
CHAPTER 2. PARTICLE KINEMATICS
2.72 Chapter 2, Problem 72
Problem: A man is driving his classic 1957 Corvette on a circular path of radius R. The Corvettes distance along the paths circumference is s = R(t/ )2 , where t is time and is a characteristic

2.74. CHAPTER 2, PROBLEM 74
187
2.74 Chapter 2, Problem 74
1 Problem: As an airplane approaches an airport, it follows a path given by z = h[1 16 (x/h)2 ], where z is altitude, x is horizontal distance and h is the altitude at x = 0. The difference betwee

190
CHAPTER 2. PARTICLE KINEMATICS
2.76 Chapter 2, Problem 76
Problem: The position of a particle in two-dimensional cylindrical coordinates is given by r = t/ and = t/ , where t is time, is a constant length scale and is a constant time scale. Determine

3.2. CHAPTER 3, PROBLEM 2
193
3.2 Chapter 3, Problem 2
Problem: A man driving his classic 1955 Chevy at a speed vo slams on his brakes and comes to a stop after skidding a distance xf . During the skid, his deceleration, a, is constant. The combined mass

Problem 1. Solution: Because we define the positive direction to be downward, when the weight hangs freely the gravitational force balances the spring force. Hence, mg k = 0 = = mg k
(a) The velocity of the weight at both the start and the end of its moti

2.48. CHAPTER 2, PROBLEM 48
153
2.48 Chapter 2, Problem 48
Problem: On a peaceful lake, Boat A has velocity Va i. For a Boat A observer, Boat B appears to have a velocity Vb j. Boat B launches a missile with relative velocity 1 Va i Vb j + v k. The unit v

146
CHAPTER 2. PARTICLE KINEMATICS
2.42 Chapter 2, Problem 42
Problem: A box of gold bars is connected to a four pulley system as shown. A classic 1964 Ford Mustang is initially at rest directly below Pulley 4. The Mustang begins moving with constant acce

2.36. CHAPTER 2, PROBLEM 36
139
2.36 Chapter 2, Problem 36
Problem: A man is pulling a block up an incline using an inextensible cable wraps around two pulleys as shown. Due to fatigue, the mans speed decreases exponentially, i.e., v = vo et/ , where vo i

130
CHAPTER 2. PARTICLE KINEMATICS
2.30 Chapter 2, Problem 30
Problem: A jet supply plane is flying horizontally at altitude h with constant speed V as shown. A battleship is moving at speed vs = U at in the direction perpendicular to the jets path, where

2.24. CHAPTER 2, PROBLEM 24
119
2.24 Chapter 2, Problem 24
Problem: Car A begins from rest at time t = 0, with constant acceleration a. Car B is moving in the opposite direction at a constant speed v = V and, at t = 0, begins constant deceleration 1 a, i.

1.72. CHAPTER 1, PROBLEM 72
79
1.72 Chapter 1, Problem 72
Problem: Using the relations between coordinates and unit vectors in Cartesian and cylindrical coordinates, compute the velocity components in cylindrical coordinates for a general vector V = Vx i

1.64. CHAPTER 1, PROBLEM 64
71
1.64 Chapter 1, Problem 64
Problem: In Cartesian coordinates, the equation describing an ellipse is (x + 2)2 /16 + y 2 /b2 = 1. Determine the ellipses eccentricity, , and the constant b. Solution: The general equation for an

3.10. CHAPTER 3, PROBLEM 10
207
3.10 Chapter 3, Problem 10
Problem: Block B rests on top of Block A. The mass of Block A is mA = m and the mass of Block B is mB = 2 m. The coefficient of kinetic friction between sliding surfaces is k . Beginning at time 3

3.14. CHAPTER 3, PROBLEM 14
219
3.14 Chapter 3, Problem 14
Problem: A steel object of mass m rests on a steel turntable that starts from rest and has a constant angular acceleration, , so that its angular velocity, , increases linearly with time, t. The o

226
CHAPTER 3. FORCE AND ACCELERATION
3.18 Chapter 3, Problem 18
Problem: A hammer thrower is swinging a hammer whose head has mass m. The head rotates at constant speed, v , in a horizontal circle of radius R. The angle of the wire from the throwers hand

308
CHAPTER 5. IMPULSE AND MOMENTUM
5.8 Chapter 5, Problem 8
Problem: Two balls of mass m1 = m and m2 = 2m and coefficient of restitution e approach each other with velocities v1 = V i and v2 = 3 V i. Determine their velocities after the impact, v1 and v2

306
CHAPTER 5. IMPULSE AND MOMENTUM
5.6 Chapter 5, Problem 6
Problem: Two balls of mass m1 = m and m2 = 9m and coefficient of restitution e approach each other with velocities v1 = V i and v2 = V i. Determine their velocities after the impact, v1 and v2 ,

5.4. CHAPTER 5, PROBLEM 4
303
5.4 Chapter 5, Problem 4
Problem: A block of mass m1 = m is moving to the right with speed v1 = V and a block of mass m2 = 2m is moving to the left with speed v2 = 1 V . The coefficient of restitution is e. Ignoring effects 2

5.2. CHAPTER 5, PROBLEM 2
299
5.2 Chapter 5, Problem 2
Problem: Two identical balls of mass m and coefficient of restitution e approach each other with velocities v1 = v i and v2 = u i. Ignore effects of friction. (a) Determine their velocities after the

4.20. CHAPTER 4, PROBLEM 20
293
4.20 Chapter 4, Problem 20
Problem: A vehicle is in a circular orbit of radius rA about the moon. To transfer to an orbit of larger radius rB , the vehicle is first placed on a Hohmann transfer orbit from Point A to Point B

4.18. CHAPTER 4, PROBLEM 18
289
4.18 Chapter 4, Problem 18
Problem: A block of mass m is dropped from a distance H above a spring-supported surface. The mass of the surface is ms = m and the spring constant is k. If the blocks speed, v , is half of its va

4.14. CHAPTER 4, PROBLEM 14
275
4.14 Chapter 4, Problem 14
Problem: An electric motor is pulling a block of mass, m, at constant speed, V , up an incline that is at an angle to the horizontal. The coefficient of kinetic friction between the block and the

280
CHAPTER 4. WORK AND ENERGY
4.12 Chapter 4, Problem 12
Problem: A package of mass m is elevated from a conveyer belt to a surface above by moving along a frictionless semicircular track of radius R. The upper surface is located a distance h above the c

272
CHAPTER 4. WORK AND ENERGY
4.8 Chapter 4, Problem 8
Problem: A wooden block of mass m rests on a wooden incline, which makes an angle to the horizontal. The block is connected by a flexible inextensible cord to a weight of mass 2m as shown. The pulley