1) A0.1 kg object oscilltes as a simple harmonic motion along the x -axis with a frequency/= 3.185 Hz. At a position r, the object has a kinetic energy of 0.7 1 and a potential energy 0.31. The amplitude of ascillation, 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 frequencyf" of the oscillation would be, (a) = 21 (c)/ = 1/2 (d)/ =4/ 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 xa = 0 and its velocity is +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, e: (a)A = 0.5, ea/2

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Chapter1: Units, Trigonometry. And Vectors
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8:34 O
A O 19 l 42%
+ PHYS220_Spring-20-...
PHYS220_ Spring/20-21 Practice Sheet-1 Keys
1) A0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency /= 3.185 Hz.
At a position x. the object has a kinetic energy of 0.7 and a potential energy 0.31. The amplitude of
ascillation, 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)/ = 2/
(b)/"=/
(c) = f/2
(d)/ = 4/
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
s
Ve = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, o:
(a)A = 0.5, g=z/2
(b)A = 0.5, p=-a/2
(c) A = 0.25, e==/2
(d)A = 0.25, e=-x/2
4) When the block's velocity has the value p = /2. then its position has the possible values of
(a) x = t(3/4)4
(b)x = tA/2
(c) x = t(V3/2)A
(d)x = t(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 -/4). The earliest time the particle
reaches positionr =0.1 m is
(a)t S
(b)=
24
47
(e)t=-
24
(4) t=5
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 0(t) is
written as a cosine function, then the phase constant o is:
(a) -R/2
(b)0
(e) +*/2
(d)=
7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the
equilibrium position and is then given an initial speed of 0,6 m/s. What are the values of the maximum
speed and maximum height reached by the bob? (Take g=9.8 m/s)
(a) hmas = 1.87 cm; nas = 344 m/s
(b) h = 2.89 cm; Fna = 0.75 m/s
(c) hman = 1.87 cm; Fmas =0.75 m/s
(d)hmax =2.89 cm; Fman = 3.44 m/s
8) A simple pendulum of length L and mass M has frequency f. To increase its frequency to 2f:
(a) decrease its length to L/4
(b)decrease its length to L/2
(c) increase its length to 21.
(d)increase its length to 4L
9) A simple pendulum of length Lis set to oscillate in simple harmonie motion. When its potential energy
is one-half its total mechanical energy, U = E/2, then which of the following is true about its velocity:
II
Transcribed Image Text:8:34 O A O 19 l 42% + PHYS220_Spring-20-... PHYS220_ Spring/20-21 Practice Sheet-1 Keys 1) A0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency /= 3.185 Hz. At a position x. the object has a kinetic energy of 0.7 and a potential energy 0.31. The amplitude of ascillation, 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)/ = 2/ (b)/"=/ (c) = f/2 (d)/ = 4/ 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 s Ve = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, o: (a)A = 0.5, g=z/2 (b)A = 0.5, p=-a/2 (c) A = 0.25, e==/2 (d)A = 0.25, e=-x/2 4) When the block's velocity has the value p = /2. then its position has the possible values of (a) x = t(3/4)4 (b)x = tA/2 (c) x = t(V3/2)A (d)x = t(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 -/4). The earliest time the particle reaches positionr =0.1 m is (a)t S (b)= 24 47 (e)t=- 24 (4) t=5 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 0(t) is written as a cosine function, then the phase constant o is: (a) -R/2 (b)0 (e) +*/2 (d)= 7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the equilibrium position and is then given an initial speed of 0,6 m/s. What are the values of the maximum speed and maximum height reached by the bob? (Take g=9.8 m/s) (a) hmas = 1.87 cm; nas = 344 m/s (b) h = 2.89 cm; Fna = 0.75 m/s (c) hman = 1.87 cm; Fmas =0.75 m/s (d)hmax =2.89 cm; Fman = 3.44 m/s 8) A simple pendulum of length L and mass M has frequency f. To increase its frequency to 2f: (a) decrease its length to L/4 (b)decrease its length to L/2 (c) increase its length to 21. (d)increase its length to 4L 9) A simple pendulum of length Lis set to oscillate in simple harmonie motion. When its potential energy is one-half its total mechanical energy, U = E/2, then which of the following is true about its velocity: II
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