PHYS220 Spring/20-21_ Practice Sheet-1 Keys1) A0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185 Hz.Ata position X, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude ofOscillation., A, is:2N A KWASS m is attached to a spring with force constant k and osciNate al a frequency /. If theWassAs chowe w# m/2, and the spring force is changed to k rhen the now frequency / ofPhe tollowing given is for qiconstant k 200 N/m, and set lo

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Description: PHYS220 Spring/20-21_ Practice Sheet-1 Keys1) A0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185 Hz.Ata position X, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude o

At any instant total energy is constant and equal to 1/2 k A²; where k is the spring constant and A…

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1) A01 kg object oscillates as a simple harmonic motion along the x-axis with a At a position x,, the object has a kinetic energy of 0.7 J and a potential energy Oscillation, A, is:

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 24P

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The top end of a spring is held fixed. A block is hung on the bottom end as in Figure OQ15.13a, and the frequency f of the oscillation of the system is measured. The block, a second identical block, and the spring are carried up in a space shuttle to Earth orbit. The two blocks are attached to the ends of the spring. The spring is compressed without making adjacent coils touch (Fig. OQ15.13b), and the system is released to oscillate while floating within the shuttle cabin (Fig. OQ15.13C). What is the frequency of oscillation for this system in terms of f? (a) f/2 (b) f/ 2 (c) f (d) 2/ (e) 2f
Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 15.51.
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A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
In an engine, a piston oscillates with simpler harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = O. find (a) the position of the particle, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
A 90.0kg skydiver hanging from a parachute bounces up and down with a period of 1.50 s. What is the new period of oscillation when a second skydiver, whose mass is 60.0 kg, hangs from the legs of the first, as seen in Figure 16.47. Figure 16.4? The oscillations of one Skydiver are about to be affected by a second skydiver. (credit: U.S. Army, www.army.mil)
A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.
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