FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 15, Problem 110P
To determine
The spring constant of the spring required for the proper landing.
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Chapter 10, Problem 069
In the figure, a small disk of radius r=4.00 cm has been glued to the edge of a larger disk of radius R=7.00 cm so that the disks lie in the same plane. The disks can be
rotated around a perpendicular axis through point O at the center of the larger disk. The disks both have a uniform density (mass per unit volume) of 1.40 x 103 kg/m3 and
a uniform thickness of 6.00 mm. What is the rotational inertia of the two-disk assembly about the rotation axis through O?
Number
Units
the tolerance is +/-2%
Click if you would like to Show Work for this question: Open Show Work
One end of a meter stick is pinned to a table, so the stick can rotate freely in a plane parallel to the tabletop. Two forces, both parallel
to the tabletop, are applied to the stick in such a way that the net torque is zero. The first force has a magnitude of 2.00 N and is applied
perpendicular to the length of the stick at the free end. The second force has a magnitude of 6.00 N and acts at a 38.9° angle with
respect to the length of the stick. Where along the stick is the 6.00-N force applied? Express this distance with respect to the end of
the stick that is pinned.
d= i
>
Problem 22: To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam.
Part (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Part (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.19m, ry = 0.025 m, rz = 0.035 m, Fx = -7.8 N, Fy = 1.2 N, Fz = 2.2 N.
Part (c) If the moment of inertia of the beam with respect to the pivot is I = 494 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
Chapter 15 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 15 - Which of the following relationships between the...Ch. 15 - An object undergoing simple harmonic motion takes...Ch. 15 - A 0.12 kg body undergoes simple harmonic motion of...Ch. 15 - What is the maximum acceleration of a platform...Ch. 15 - An automobile can be considered to be mounted on...Ch. 15 - SSM In an electric shaver, the blade moves back...Ch. 15 - A particle with a mass of 1.00 1020 kg is...Ch. 15 - SSM A loudspeaker produces a musical sound by...Ch. 15 - The position function x = 6.0 m cos3 rad/st /3...Ch. 15 - An oscillating blockspring system takes 0.75 s to...
Ch. 15 - SSM An oscillator consists of a block of mass...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - SSM Two particles oscillate in simple harmonic...Ch. 15 - Two particles execute simple harmonic motion of...Ch. 15 - ILW An oscillator consists of a block attached to...Ch. 15 - GO At a certain harbor, the tides cause the ocean...Ch. 15 - A block rides on a piston a squat cylindrical...Ch. 15 - SSM WWW A block is on a horizontal surface a shake...Ch. 15 - SSM When the displacement in SHM is one-half the...Ch. 15 - SSM Find the mechanical energy of a blockspring...Ch. 15 - An oscillating blockspring system has a mechanical...Ch. 15 - ILW A 5.00 kg object on a horizontal frictionless...Ch. 15 - A 10 g particle undergoes SHM with an amplitude of...Ch. 15 - If the phase angle for a blockspring system in SHM...Ch. 15 - GO A massless spring hangs from the ceiling with a...Ch. 15 - A 95 kg solid sphere with a 15 cm radius is...Ch. 15 - SSM WWW The balance wheel of an old-fashioned...Ch. 15 - ILW A physical pendulum consists of a meter stick...Ch. 15 - Suppose that a simple pendulum consists of a small...Ch. 15 - A performer seated on a trapeze is swinging back...Ch. 15 - Prob. 50PCh. 15 - GO A pendulum is formed by pivoting a long thin...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - The suspension system of a 2000 kg automobile sags...Ch. 15 - Hanging from a horizontal beam are nine simple...Ch. 15 - A. 1000 kg car carrying four 82 kg people travels...Ch. 15 - Although California is known for earthquakes, is...Ch. 15 - A loudspeaker diaphragm is oscillating in simple...Ch. 15 - A 2.00 kg block hangs from a spring. A 300 g body...Ch. 15 - SSM In the engine of a locomotive, a cylindrical...Ch. 15 - A 50.0 g stone is attached to the bottom of a...Ch. 15 - A uniform circular disk: whose radius R is 12.6 cm...Ch. 15 - SSM A vertical spring stretches 9.6 cm when a 1.3...Ch. 15 - A massless spring with spring constant 19 N/m...Ch. 15 - A 4.00 kg block is suspended from a spring with k...Ch. 15 - A 55.0 g block oscillates in SHM on the end of a...Ch. 15 - A block is in SHM on the end of a spring, with...Ch. 15 - A simple pendulum of length 20 cm and mass 5.0 g...Ch. 15 - The scale of a spring balance that reads from 0 to...Ch. 15 - A 0.10 kg block oscillates back and forth along a...Ch. 15 - The end point of a spring oscillates with a period...Ch. 15 - The tip of one prong of a tuning fork undergoes...Ch. 15 - Prob. 87PCh. 15 - A block weighing 20 N oscillates at one end of a...Ch. 15 - A 3.0 kg particle is in simple harmonic motion in...Ch. 15 - A particle executes linear SHM with frequency 0.25...Ch. 15 - SSM What is the frequency of a simple pendulum 2.0...Ch. 15 - A 4.00 kg block hangs from a spring, extending it...Ch. 15 - An engineer has an odd-shaped 10 kg object and...Ch. 15 - A spider can tell when its web has captured, say,...Ch. 15 - When a 20 N can is hung from the bottom of a...Ch. 15 - For a simple pendulum, find the angular amplitude...Ch. 15 - SSM A 1.2 kg block sliding on a horizontal...Ch. 15 - A simple harmonic oscillator consists of an 0.80...Ch. 15 - A block sliding on a horizontal frictionless...Ch. 15 - A damped harmonic oscillator consists of a block m...Ch. 15 - Prob. 105PCh. 15 - Prob. 106PCh. 15 - Prob. 107PCh. 15 - Prob. 108PCh. 15 - Prob. 109PCh. 15 - Prob. 110PCh. 15 - Prob. 111P
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- To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.92 m, ry = 0.065 m, rz = 0.025 m, Fx = 5.8 N, Fy = -1.8 N, Fz = 6.6 N. (c) If the moment of inertia of the beam with respect to the pivot is I = 498 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.arrow_forwardA person drops a cylindrical steel bar (Y = 2.00 x 10" Pa) from a height of 5.00 m (distance between the floor and the bottom of the vertically oriented bar). The bar, of length L = 0.63 m, radius R = 0.50 cm, and mass m = 0.80 kg, hits the floor and bounces up, maintaining its vertical orientation. Assuming the collision with the floor is elastic, and that no rotation occurs, what is the maximum compression of the bar? Al = 2.21 mm Incorrectarrow_forward11.41. A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by a = 4.0i - 3.0j in m/s2. The torque, relative to the origin, acting on it at the end of 2.0 s is: O O O O 0 N·m (-18 N.m)k (+24 N-m)k (-144 N-m)k (+144 varrow_forward
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