FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Question
Chapter 11, Problem 75P
To determine
To Find
(a) Rotational Inertia of merry go round about its axis of rotation.
(b) The magnitude of the
(c) The angular speed of the merry-go-round and child after the child has jumped onto the merry-go-round
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In a playground, there is a small merry-go-round of radius 1.20 m and mass 180 kg. Its radius of gyration (see Problem 79 of Chapter 10) is 91.0 cm.A child of mass 44.0 kg runs at a speed of 3.00 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped onto the merry-go-round.
The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B.
What is the velocity of A just before it hits block B? And what is the length of the rope l, if angle alpha is 30 degrees
The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B.
Which of the following best approximates the value of height h?
0.255m
0.510 m
5.00 m
1.274 m
Chapter 11 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 11 - The position vector r of a particle relative to a...Ch. 11 - The angular momenta t of a particle in four...Ch. 11 - A rhinoceros beetle rides the rim of a horizontal...Ch. 11 - A cannonball and a marble roll smoothly from rest...Ch. 11 - Prob. 12QCh. 11 - A car travels at 80 km/h on a level road in the...Ch. 11 - An automobile traveling at 80.0 km/h has tires of...Ch. 11 - Prob. 3PCh. 11 - A uniform solid sphere rolls down an incline. a...Ch. 11 - ILW A 1000 kg car has four 10 kg wheels. When the...
Ch. 11 - A hollow sphere of radius 0.15 m, with rotational...Ch. 11 - SSM A yo-yo has a rotational inertia of 950 gcm2...Ch. 11 - Prob. 18PCh. 11 - In unit-vector notation, what is the net torque...Ch. 11 - A plum is located at coordinates 2.0 m, 0, 4.0 m....Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - A particle moves through an xyz coordinate system...Ch. 11 - Force F=(2.0N)i(3.0N)k acts on a pebble with...Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - SSM Force F=(8.0N)i+(6.0N)j acts on a particle...Ch. 11 - SSM At one instant, force F=4.0N acts on a 0.25 kg...Ch. 11 - A 2.0 kg particle-like object moves in a plant...Ch. 11 - At the instant the displacement of a 2.00 kg...Ch. 11 - A particle is acted on by two torques about the...Ch. 11 - SSM WWW ILW At time t = 0, a 3.0 kg particle with...Ch. 11 - A particle is to move in an xy plane, clockwise...Ch. 11 - At time t, the vector r=4.0t2i(2.0t+6.0t2)j gives...Ch. 11 - A sanding disk with rotational inertia 1.2 103...Ch. 11 - SSM The angular momentum of a flywheel having a...Ch. 11 - A disk with a rotational inertia of 7.00 kgm2...Ch. 11 - A Texas cockroach of mass 0.17 kg runs...Ch. 11 - SSM WWW A man stands on a platform that is...Ch. 11 - The rotational inertia of a collapsing spinning...Ch. 11 - Two disks are mounted like a merry-go-round on...Ch. 11 - The rotor of an electric motor has rotational...Ch. 11 - SSM ILW A wheel is rotating freely at angular...Ch. 11 - GO A cockroach of mass m lies on the rim of a...Ch. 11 - A horizontal vinyl record of mass 0.10 kg and...Ch. 11 - In a long jump, an athlete leaves the ground with...Ch. 11 - A uniform disk of mass 10m and radius 3.0r can...Ch. 11 - A horizontal platform in the shape of a circular...Ch. 11 - GO In Fig. 11-56, a 30 kg child stands on the edge...Ch. 11 - Prob. 68PCh. 11 - A certain gyroscope consists of a uniform disk...Ch. 11 - A uniform solid ball rolls smoothly along a floor,...Ch. 11 - A thin-walled pipe rolls along the floor. What is...Ch. 11 - Prob. 73PCh. 11 - Prob. 74PCh. 11 - Prob. 75PCh. 11 - A uniform block of granite in the shape of a book...Ch. 11 - SSM Two particles, each of mass 2.90 104 kg and...Ch. 11 - A wheel of radius 0.250 m, moving initially al...Ch. 11 - Prob. 79PCh. 11 - Prob. 80PCh. 11 - Prob. 81PCh. 11 - Prob. 82PCh. 11 - Prob. 83P
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