Explanation 1) Concept: Using expression for moment of inertia, torque and angular frequency we can find I , κ and ω . 2) Formula: i) I = m r 2 ii) τ = - κ θ iii) ω = ( κ / I ) 3) Given: i) m = 3.00 k g ii) r = 70.0 c m = 0.7 m iii) θ = 2.50 r a d iv) τ = 0.0600 N m 4) Calculations: a) I = m r 2 I = 3 × 0

10th Edition

ISBN: 9781118230718

Author: David Halliday

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 15, Problem 87P

To determine

To find

a) Rotational inertia (I)

b) Torsion constant (κ)

c) Angular frequency (ω)

Expert Solution & Answer

Chapter 15 Solutions

Fundamentals of Physics

Ch. 15 - Which of the following describe for the SHM of...Ch. 15 - The velocity vt of a particle undergoing SHM is...Ch. 15 - The acceleration at of a particle undergoing SHM...Ch. 15 - Which of the following relationships between the...Ch. 15 - You are to complete Fig. 15-22a so that it is a...Ch. 15 - You are to complete Fig. 15-23a so that it is a...Ch. 15 - Figure 15-24 shows the xt curves for three...Ch. 15 - Figure 15-25 shows plots of the kinetic energy K...Ch. 15 - Figure 15-26 shows three physical pendulums...Ch. 15 - You are to build the oscillation transfer device...

Ch. 15 - In Fig. 15-28, a springblock system is put into...Ch. 15 - Figure 15-29 gives, for three situations, 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 - What is the phase constant for the harmonic...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 - In Fig. 15-31, two identical springs of spring...Ch. 15 - What is the phase constant for the harmonic...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 - GO Figure 15-33a is a partial graph of the...Ch. 15 - ILW In Fig. 15-31, two springs are attached to a...Ch. 15 - GO Figure 15-34 shows block 1 of mass 0.200 kg...Ch. 15 - SSM WWW A block is on a horizontal surface a shake...Ch. 15 - In Fig. 15-35, two springs are joined and...Ch. 15 - GO In Fig. 15-36, a block weighing 14.0 N, which...Ch. 15 - GO In Fig. 15-37, two blocks m = 1.8 kg and M = 10...Ch. 15 - SSM When the displacement in SHM is one-half the...Ch. 15 - Figure 15-38 gives the one-dimensional potential...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 - Figure 15-39 shows the kinetic energy K of a...Ch. 15 - GO A block of mass M = 5.4 kg, at rest on a...Ch. 15 - GO In Fig. 15-41, block 2 of mass 2.0 kg...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 - SSM In Fig. 15-42, the pendulum consists of a...Ch. 15 - Suppose that a simple pendulum consists of a small...Ch. 15 - a If the physical pendulum of Fig. 15-13 and the...Ch. 15 - A physical pendulum consists of two meter-long...Ch. 15 - A performer seated on a trapeze is swinging back...Ch. 15 - A physical pendulum has a center of oscillation at...Ch. 15 - In Fig. 15-44, a physical pendulum consists of a...Ch. 15 - GO A rectangular block, with face lengths a = 35...Ch. 15 - GO The angle of the pendulum of Fig. 15-11b is...Ch. 15 - Prob. 50P Ch. 15 - GO In Fig. 15-46, a stick of length L = 1.85 m...Ch. 15 - GO The 3.00 kg cube in Fig. 15-47 has edge lengths...Ch. 15 - SSM ILW In the overhead view of Fig. 15-48, a long...Ch. 15 - Prob. 54P Ch. 15 - GO A pendulum is formed by pivoting a long thin...Ch. 15 - In Fig. 15-50: a 2.50 kg disk of diameter D = 42.0...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - For the damped oscillator system shown in Fig....Ch. 15 - SSM WWW For the damped oscillator system shown in...Ch. 15 - The suspension system of a 2000 kg automobile sags...Ch. 15 - For Eq. 15-45, suppose the amplitude xm is given...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 uniform spring with k = 8600 N/m is cut into...Ch. 15 - GO In Fig. 15-51, three 10, 000 kg ore cars are...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 - GO A wheel is free to rotate about its fixed axle....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 - Figure 15-53 gives the position of a 20 g block...Ch. 15 - Figure 15-53 gives the position xt of a block...Ch. 15 - Figure 15-54 shows the kinetic energy K of a...Ch. 15 - A block is in SHM on the end of a spring, with...Ch. 15 - A simple harmonic oscillator consists of a 0.50 kg...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. 87P Ch. 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 grandfather clock has a pendulum that consists...Ch. 15 - A 4.00 kg block hangs from a spring, extending it...Ch. 15 - What is the phase constant for SMH with at given...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 - A torsion pendulum consists of a metal disk with a...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 - In Fig. 15-59, a solid cylinder attached to a...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 - A block weighing 10.0 N is attached to the lower...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - The vibration frequencies of atoms in solids at...Ch. 15 - Figure 15-61 shows that if we hang a block on the...Ch. 15 - The physical pendulum in Fig. 15-62 has two...Ch. 15 - A common device for entertaining a toddler is a...Ch. 15 - A 2.0 kg block executes SHM while attached to a...Ch. 15 - In Fig. 15-64, a 2500 kg demolition ball swings...Ch. 15 - The center of oscillation of a physical pendulum...Ch. 15 - A hypothetical large slingshot is stretched 2.30 m...Ch. 15 - What is the length of a simple pendulum whose full...Ch. 15 - A 2.0 kg block is attached to the end of a spring...

Knowledge Booster

To find a) Rotational inertia ( I ) b) Torsion constant ( κ ) c) Angular frequency ( ω )

Solution Summary: The author explains the formulas for moment of inertia, torque, and angular frequency.

To find

a) Rotational inertia (I)

b) Torsion constant (κ)

c) Angular frequency (ω)

Chapter 15 Solutions

To find a) Rotational inertia ( I ) b) Torsion constant ( κ ) c) Angular frequency ( ω )

Solution Summary: The author explains the formulas for moment of inertia, torque, and angular frequency.

To find a) Rotational inertia (I) b) Torsion constant (κ) c) Angular frequency (ω)

Chapter 15 Solutions

To find

a) Rotational inertia (I)

b) Torsion constant (κ)

c) Angular frequency (ω)