Ch16-18_sample_exam

Ch16-18_sample_exam - 1. In simple harmonic motion, the...

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1. In simple harmonic motion, the restoring force must be proportional to the: A) amplitude B) frequency C) velocity D) displacement E) displacement squared 2. A particle is in simple harmonic motion with period T. At time t = 0 it is at the equilibrium point. At which of the following times is it furthest from the equilibrium point? A) 0.5 T B) 0.7 T C) T D) 1.4 T E) 1.5 T 3. An object is undergoing simple harmonic motion. Throughout a complete cycle it: A) has constant speed B) has varying amplitude C) has varying period D) has varying acceleration E) has varying mass 4. An object attached to one end of a spring makes 20 vibrations in 10s. Its period is: A) 2 Hz B) 10 s C) 0.5 Hz D) 2 s E) 0.50 s Page 1
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5. Frequency f and angular frequency ϖ are related by A) = π B) = 2 π C) = / π D) = /2 π E) = 2 / π 6. In simple harmonic motion, the magnitude of the acceleration is greatest when the: A) displacement is zero B) displacement is maximum C) velocity is maximum D) force is zero E) none of these 7. The amplitude and phase constant of an oscillator are determined by: A) the frequency B) the angular frequency C) the initial displacement alone D) the initial velocity alone E) both the initial displacement and velocity 8. It is impossible for two particles, each executing simple harmonic motion, to remain in phase with each other if they have different: A) masses B) periods C) amplitudes D) spring constants E) kinetic energies Page 2
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9. The displacement of a mass oscillating on a spring is given by x ( t ) = x m cos( ϖ t + φ ). If the object is initially displaced in the negative x direction and given a positive initial velocity, then the phase constant is between: A) 0 and π /2 radians B) π /2 and π radians C) π and 3 π /2 radians D) 3 π /2 and 2 π radians E) none of the above ( is exactly 0, π /2, π , or 3 π /2 radians) 10. A 0.200-kg mass attached to a spring whose spring constant is 500 N/m executes simple harmonic motion with amplitude 0.100 m. Its maximum speed is: A) 25 m/s B) 5 m/s C) 1 m/s D) 15.8 m/s E) 0.2 m/s 11. A 3-kg block, attached to a spring, executes simple harmonic motion according to x = 2cos(50 t ) where x is in meters and t is in seconds. The spring constant of the spring is: A) 1 N/m B) 100 N/m C) 150 N/m D) 7500 N/m E) none of these Page 3
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12. A particle is in simple harmonic motion along the x axis. The amplitude of the motion is x m . When it is at x = x 1 , its kinetic energy is K = 5J and its potential energy (measured with U = 0 at x = 0) is U = 3J. When it is at x = –1/2 x m , the kinetic and potential energies are: A) K = 5J and U = 3J B) K = 5J and U = –3J C) K = 8J and U = 0 D) K = 0 and U = 8J E) K = 0 and U = –8J 13. A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is: A) 0.13 m/s B) 0.18 m/s C) 3.7 m/s D) 5.2 m/s E) 13 m/s 14. A block attached to a spring undergoes simple harmonic motion on a horizontal frictionless surface. Its total energy is 50 J. When the displacement is half the amplitude, the kinetic energy is: A) zero B) 12.5 J C) 25 J D) 37.5 J E) 50 J Page 4
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15. The period of a simple pendulum is 1 s on Earth. When brought to a planet where g is
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Ch16-18_sample_exam - 1. In simple harmonic motion, the...

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