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Questions in this quiz (35)
1The position "x" of an object varies with time 't'. For which of the following equations relating 'x' and 't' is the motion of the object simple harmonic motion? (there may be more than one correct choice)
- AA) x=5sin3t
- BB) x=2cos(3t-1)
- CC) x=8cos3t
- DD) x=4tan2t
- EE) x=5(sin^2)3t
2A restoring force of magnitude 'F' acts on a system with a displacement of magnitude 'x'. In which of the following cases will the system undergo simple harmonic motion?
- AA) F∝x
- BB) F∝(x^2)
- CC) F∝sinx
- DD) F∝1/x
- EE) F∝√x
3An object is executing simple harmonic motion. What is true about the acceleration of this object? (There may be mmore than one correct choice
- AA) The acceleration is zero when the speed of the object is a maximum
- BB) The acceleration is a maximum when the speed of the object is a maximum
- CC) The acceleration is a maximum when the displacement of the object is zero
- DD) The acceleration is a maximum when the object is instantaneously at rest
- EE) The acceleration is a maximum when the displacement of the object is a maximum
4The simple harmonic motion of an object is described by the graph shown in the figure. What is the equation for the position x(t) of the object as a function of time 't'?
- AA) x(t)=(4.0m)cos[(2π/8.0s)t- π/3.0]
- BB) x(t)=(4.0m)cos[(2π/8.0s)t + π/3.0]
- CC) x(t)=(8.0m)cos[(2π/8.0s)t + π/3.0]
- DD) x(t)=(4.0m)sin[(2π/8.0s)t + π/3.0]
- EE) x(t)=(4.0m)cos[(2π/8.0s)t + 2π/3.0]
5Which of the following graphs describes simple periodic motion with amplitude 2.00 cm and angular frequency 2.00 rad/s?
- A
- B
- C
- D
- E
- A
6A mass 'M' is attached to an ideal massless spring. When this system is set in motion with amplitude 'A', it has a period 'T'. What is the period if the amplitude of the motion is increased to 2A?
- AA) 2T
- BB) T
- CC) √2 T
- DD) 4T
- EE) T/2
7A mass 'M' is attached to an ideal massless spring. When this system is set in motion, it has a period 'T'. What is the period if the mass is doubled to 2M?
- AA) T/2
- BB) T
- CC) 2T
- DD) 4T
- EE) √2 T
8In simple harmonic motion, the speed is greatest at that point in the cycle when
- AA) the kinetic energy is a minimum
- BB) the magnitude of the acceleration is a minimum
- CC) the potential energy is a maximum
- DD) the magnitude of the acceleration is a maximum
- EE) the displacement is a maximum
9If we double only the amplitude of a vibrating ideal mass-and-spring system, the mechanical energy of the system
- AA) increases by a factor of √2
- BB) increases by a factor of 4
- CC) increases by a factor of 2
- DD) does not change
- EE) increases by a factor of 3
10if we double only the mass of a vibrating idea mass-and-spring system, the mechanical energy of the system
- AA) increases by a factor of 2
- BB) does not change
- CC) increases by a factor of 4
- DD) increases by a factor of √2
- EE) increases by a factor of 3
11If we double only the spring constant of a vibrating ideal mass-and-spring system, the mechanical energy of the system
- AA) increases by factor of 4
- BB) increases by factor of 2
- CC) increases by factor of 3
- DD) increases by factor of √2
- EE) does not change
12An object is attached to a vertical ideal massless spring and bobs up and down between two extreme points 'A' and 'B'. When the kinetic energy of the object is a minimum, the object is located
- AA) at either 'A' or 'B'
- BB) 1/√2 times the distance from A to B
- CC) midway between A and B
- DD) 1/4 of the distance from A to B
- EE) 1/3 of the distance from A to B
13A frictionless pendulum released from 65 degrees with the vertical will vibrate with the same frequency as if it were released from 5 degrees with the vertical because the period is independent of the amplitude and mass.
- ATrue
- BFalse
14A certain frictionless simple pendulum having a length 'L' and mass "M' swings with period 'T'. if both 'L' and 'M' are doubled, what is the new period?
- AA) T
- BB) T/4
- CC) 4T
- DD) √2 T
- EE) 2T
15In designing buildings to be erected in an area prone to earthquakes, what relationship should the designer try to achieve between the natural frequency of the building and the typical earthquake frequencies?
- AA) The natural frequency of the building should be almost the same as typical earthquake frequencies but sightly lower
- BB) The natural frequency of the building should be exactly the same as typical earthquake frequencies
- CC) The natural frequency of the building should be very different from typical earthquake frequencies
- DD) The natural frequency of the building should be almost the same as typical earthquake frequencies but slightly higher
16A simple harmonic oscillator has an amplitude of 3.50 cm and a maximum speed of 26.0 cm/s. What is its speed when the displacement is 1.75cm?
- AA) 17.0 cm/s
- BB) 14.2 cm/s
- CC) 12.0 cm/s
- DD) 15.0 cm/s
- EE) 22.5 cm/s
17A frictionless pendulum clock on the surface of the earth has a period of 1.00s. On a distant planet, the length of the pendulum must be shortened slightly to have a period of 1.00s. What is true about the acceleration due to gravity on the distant planet?
- AA) The gravitational acceleration on the planet is equal to g
- BB) We cannot tell because we do not know the mass of the pendulum
- CC) The gravitational acceleration on the planet is slightly greater than g
- DD) The gravitational acceleration on the planet is slightly less than g
18A Machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27s and a range o(from the maximum in one direction to the maximum int he other) of 3.0 cm. At time t=0 it is at its central position and moving in the +x direction. What is its position when t=55s?
- AA) x= -.051 cm
- BB) x= -0.43 cm
- CC) x= -1.3 cm
- DD) x= -1.4 cm
- EE) x= +0.51 cm
19An object of mass 8.0 kg is attached to an ideal massless spring and allowed to hang in the earth's gravitational field. The spring stretches 3.6 cm before it reaches its equilibrium position. If this system is allowed to oscillate, what will be its frequency?
- AA) 0.67 Hz
- BB) 2.6 Hz
- CC) 2.1 Hz
- DD) 0.0045 Hz
20An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the spring constant of the spring?
- AA) 2.45 N/m
- BB) 24.1 N/m
- CC) 12.1 N/m
- DD) 0.102 N/m
- EE) 0.610 N/m
21A 56 kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. If the period of oscillation is 11.2s, what is the spring constant of the bungee cord, assuming it has negligible mass compared to that of the jumper??
- AA) 17.6 N/m
- BB) 28.2 N/m
- CC) 21.1 N/m
22A 20 kg block on a frictionless table is connected to two ideal massless springs with spring constants k1 and k2 whose opposite ends are fixed to walls, as shown in the figure. What is angular frequency of the oscillation if k1=7.6 N/m and k2=5.0 N/m?
- AA) 3.5 rad/s
- BB) 0.40 rad/s
- CC) 0.56 rad/s
- DD) 2.5 rad/s
23A 1.6-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 190 N/m. The block is pulled from its equilibrium position at x=0.00 m to a displacement x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. What is the velocity of the block at time t=0.40 s?
- AA) 0.00 m/s
- BB) -0.30 m/s
- CC) 0.82 m/s
- DD) 0.30 m/s
- EE) -0.82
24A 0.28-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 500 N/m. The block is pulled from its equilibrium position at x=0.00 m to a displacement x=+0.080m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the displacement is x=-0.052m, find the acceleration of the block.
- AA) 69 m/s^2
- BB) 280 m/s^2
- CC) 92 m/s^2
- DD) 230 m/s^2
- EE) 46 m/s^2
25In the figure, two masses, M=16 kg and m=12.8 kg, are connected to a very light rigid bar and are attached to an ideal massless spring of spring constant 100 N/m. The system is set into oscillation with an amplitude of 78 cm. At the instant when the acceleration is at its maximum, the 16-kg mass separates from the 12.8-kg mass, which then remains attached to the spring and continues to oscillate. What will be the amplitude of oscillation of the 12.8-kg mass?
- AA) 62 cm
- BB) 98 cm
- CC) 78 cm
- DD) 35cm
- EE) 180 cm
26A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table. The spring is aligned along the x-axis and is fixed to a peg in the table. Suddenly this mass is struck by another 2.00-kg object traveling along the x-axis at 3.00 m/s, and the two masses stick together. What are the amplitude and period of the oscillations that result from this collision?
- AA) 0.300m, 1.26 s
- BB) 0.300m, 0.889 s
- CC) 0.424m, 5.00 s
- DD) 0.424m, 1.26 s
- EE) .424m, 0.889 s
27A 0.25 kg ideal harmonic oscillator has a total mechanical energy of 4.0 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency?
- AA) 2.3 Hz
- BB) 4.5 Hz
- CC) 1.4 Hz
- DD) 3.2 Hz
28A 0.025 kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 150 N/m. The block is pulled from its equilibrium position at x=0.00 m to a displacement x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the displacement is x=0.024m, what is the kinetic energy of the block?
- AA) 0.52 J
- BB) 0.41 J
- CC) 0.49 J
- DD) 0.44 J
- EE) 0.46 J
29A long thin uniform rod of length 1.50 m is to be suspended from a frictionless pivot located at some point along the rod so that its pendulum motion takes 3.00 s. How far from the center of the rod should the pivot be located?
- AA) 7.52 cm
- BB) 7.98 cm
- CC) 23.4 cm
- DD) 8.40 cm
- EE) 8.73 cm
30A uniform meter stick is freely pivoted about the 0.20-m mark. If it is allowed to swing in a vertical plane with a small amplitude and friction, what is the frequency of its oscillations?
- AA) 0.55 Hz
- BB) 1.3 Hz
- CC) 1.1 Hz
- DD) 0.92 Hz
- EE) 0.66 Hz
31The amplitude of a lightly damped harmonic oscillator decreases from 60.0 cm to 40.0 cm in 10.0s. what will be the amplitude of the harmonic oscillator after another 10.0s passes?
- AA) 167 cm
- BB) 20.0 cm
- CC) 0.00 cm
- DD) 26.7 cm
- EE) 30.0 cm
32A lightly damped harmonic oscillator, with a damping force porpotional to its speed, is oscillating with an amplitude of 0.500 cm at time t=0. When t=8.20s, the amplitude has died down to 0.400 cm. At what value of t will the oscillations have an amplitude of 0.250 cm?
- AA) 5.13 s
- BB) 18.5 s
- CC) 25.5 s
- DD) 16.5 s
- EE) 20.5 s
33An ideal massless spring with a constant of 2.00 N/m is attached to an object of 75.0 g. The system has a small amount of damping. If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0s, what is the magnitude of the damping constant b?
- AA) 0.00693 kg/s
- BB) 0.0462 kg/s
- CC) 0.00857 kg/s
- DD) 0.00762 kg/s
- EE) 0.0100 kg/s
34A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s. If the maximum displacement of 2.0m occurs when t=0.00s, and the damping constant b is 0.74 kg/s what is the object's displacement when t=4.01s?
- AA) 0.50 m
- BB) 0.58 m
- CC) 0.43 m
- DD) 0.65 m
35A 25 kg object is undergoing lightly damped harmonic oscillations. If the maximum displacement of the object from its equilibrium point drops to 1/3 its original value in 1.8 s, what is the value of the damping constant b?
- AA) 40 kg/s
- BB) 37 kg/s
- CC) 34 kg/s
- DD) 31 kg/s
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- Quiz on Untitled, created by kristenwood22 on 21/02/2015.
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- kristenwood22
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