1) A0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185 Hz. At a position x, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m

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NOF“ 72| 1:09 PM
PHYS220_Spring-20-21...
PHYS220 _ Spring/20-21 _ Practice Sheet-1 _ Keys
1) A0.1 kg object oscillates as a simple harmonic motion along thex -axis with a frequency f = 3.185 Hz.
At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of
oscillation, A, is:
(a) 0.12 m
(b)0.22 m
(c) 0.31 m
(d)0.42 m
2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the
mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequency f' of
the oscillation would be,
(a) f' = 2f
(b)f' = f
(c) f' = f/2
(d)/' = 4f
The following given is for questions 3 and 4:
A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to
oscillates on a frictionless horizontal surface. At time t = 0 its position is x, = 0 and its velocity is
vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, p:
(a) A = 0.5, o = a/2
(b)A = 0.5, 0 = -7/2
(c) A = 0.25, 9 =x/2
(d)A = 0.25, 9 = -x/2
4) When the block's velocity has the value v = v,may/2, then its position has the possible values of:
(a) x = +(3/4)A
(b)x = ±A/2
(c) x = ±(v3/2)A
(d)x = ±(vZ/2)A
5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table. Its
displacement varies with time according to x(t) = 0.2 cos(2t – n/4). The earliest time the particle
reaches position x = 0.1 m is
(а) t -
24
(b) t =S
24
47m
(c) t =
24
7m
(d) t =
12
6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the
string makes -8° with the vertical and is then released from rest. If the angular displacement e(t) is
written as a cosine function, then the phase constant o is:
(а) -п/2
(b)0
(c) +n/2
(d)n
7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the
sauilibrium position and is then given an initial speed of 0
the values of the mavimum
Transcribed Image Text:touch NOF“ 72| 1:09 PM PHYS220_Spring-20-21... PHYS220 _ Spring/20-21 _ Practice Sheet-1 _ Keys 1) A0.1 kg object oscillates as a simple harmonic motion along thex -axis with a frequency f = 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequency f' of the oscillation would be, (a) f' = 2f (b)f' = f (c) f' = f/2 (d)/' = 4f The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t = 0 its position is x, = 0 and its velocity is vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, p: (a) A = 0.5, o = a/2 (b)A = 0.5, 0 = -7/2 (c) A = 0.25, 9 =x/2 (d)A = 0.25, 9 = -x/2 4) When the block's velocity has the value v = v,may/2, then its position has the possible values of: (a) x = +(3/4)A (b)x = ±A/2 (c) x = ±(v3/2)A (d)x = ±(vZ/2)A 5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table. Its displacement varies with time according to x(t) = 0.2 cos(2t – n/4). The earliest time the particle reaches position x = 0.1 m is (а) t - 24 (b) t =S 24 47m (c) t = 24 7m (d) t = 12 6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the string makes -8° with the vertical and is then released from rest. If the angular displacement e(t) is written as a cosine function, then the phase constant o is: (а) -п/2 (b)0 (c) +n/2 (d)n 7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the sauilibrium position and is then given an initial speed of 0 the values of the mavimum
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