1) A 0.1 kg object ascillates 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 0.7J 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

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
Section: Chapter Questions
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77% i 11:49 AM
PHYS220_Spring-20-21..
PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys
1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185
Hz. At a position x, the abject has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitude
of oscillation, A, is:
(a) 0.12 m
(b) 0.22 m
(c) 0.31 m
(d)0.42 m
2) A black af mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the
mass is changed tom' = m/2, and the spring force is changed tok = 2k, then the new frequency f' of
the oscillation would be,
(a)/" = 2/
(b) =f
()/ = 1/2
(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 = +5m/s.
3) Which of the following is true about the ascillation amplitude and the phase constant,p:
(a) A = 0.5, = /2
(b)A = 0.5, =- 8/2
(c) A = 0.25, 9 = #/2
(d)A = 0.25, 9=-/2
4) When the block's velocity has the value v = tnas /2, then its position has the possible values of:
(a) x = ±(3/4)4
(b) x = tA/2
(e) x = ±(VT/2)A
(4)x = ±(V7/2)A
5) A block-spring system oscillates in a simple harmonic motian an a frictionless horizontal table. Its
displacement varies with time according to x(t) = 0.2 cas (2t – #/4). The earliest time the particle
reaches position x = 0.1 m is
(a) t
24
(b) t =
47
(e) t=
(d) t
6) Consider a bab 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 fram rest. If the angular displacement 8(t) is
written as a cosine function, then the phase constant o is:
(а) -я/2
(b)0
(c) +a/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) hmax = 1.87 cm; Va = 3.44 m/s
(b) hmax = 2.89 cm; Vna = 0.75 m/s
(c) hmax = 1.87 cm; Va = 0.75 m/s
(d)hmax = 2.89 cm; vm = 3.44 m/s
Transcribed Image Text:77% i 11:49 AM PHYS220_Spring-20-21.. PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys 1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185 Hz. At a position x, the abject has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m 2) A black af mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed tom' = m/2, and the spring force is changed tok = 2k, then the new frequency f' of the oscillation would be, (a)/" = 2/ (b) =f ()/ = 1/2 (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 = +5m/s. 3) Which of the following is true about the ascillation amplitude and the phase constant,p: (a) A = 0.5, = /2 (b)A = 0.5, =- 8/2 (c) A = 0.25, 9 = #/2 (d)A = 0.25, 9=-/2 4) When the block's velocity has the value v = tnas /2, then its position has the possible values of: (a) x = ±(3/4)4 (b) x = tA/2 (e) x = ±(VT/2)A (4)x = ±(V7/2)A 5) A block-spring system oscillates in a simple harmonic motian an a frictionless horizontal table. Its displacement varies with time according to x(t) = 0.2 cas (2t – #/4). The earliest time the particle reaches position x = 0.1 m is (a) t 24 (b) t = 47 (e) t= (d) t 6) Consider a bab 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 fram rest. If the angular displacement 8(t) is written as a cosine function, then the phase constant o is: (а) -я/2 (b)0 (c) +a/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) hmax = 1.87 cm; Va = 3.44 m/s (b) hmax = 2.89 cm; Vna = 0.75 m/s (c) hmax = 1.87 cm; Va = 0.75 m/s (d)hmax = 2.89 cm; vm = 3.44 m/s
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