77% i 11:49 AMPHYS220_Spring-20-21..PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185Hz. At a position x, the abject has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitudeof oscillation, A, is:(a) 0.12 m(b) 0.22 m(c) 0.31 m(d)0.42 m2) A black af mass m is attached to a spring with force constant, k and oscillate at a frequency f. If themass is changed tom' = m/2, and the spring force is changed tok = 2k, then the new frequency f' ofthe oscillation would be,(a)/" = 2/(b) =f()/ = 1/2(d)/ - 4fThe 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 tooscillates on a frictionless horizontal surface. At time t = 0 its position is x, = 0 and its velocity isVo = +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=-/24) 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)A5) A block-spring system oscillates in a simple harmonic motian an a frictionless horizontal table. Itsdisplacement varies with time according to x(t) = 0.2 cas (2t – #/4). The earliest time the particlereaches position x = 0.1 m is(a) t24(b) t =47(e) t=(d) t6) Consider a bab attached to a vertical string. At t = 0, the bob is displaced to a new position where thestring makes -8° with the vertical and is then released fram rest. If the angular displacement 8(t) iswritten 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 theequilibrium position and is then given an initial speed of 0.6 m/s What are the values of themaximum 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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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

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

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

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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