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)f' = 4f
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.
![1:26 PM
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PHYS220_Spring-20-21_Practice Sheet-1_Keys.pdf
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 frequencyf' of
the oscillation would be,
(a) f' = 2f
(b)f' = f
(c) f' = f/2
(d)f' = 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 xo = 0 and its velocity is
vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, :
(a) A = 0.5, p =n/2
(b)A = 0.5, ø=-1/2
(с) А %3D 0.25, ф -л/2
(d)A = 0.25, 9=-n/2
4) When the block's velocity has the value v = max/2, then its position has the possible values of:
(а)х %3D +(3/4)A
(b)x = ±A/2
(c) x = ±(v3/2)A
(d)x = ±(v2/2)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 – 1/4). The earliest time the particle
reaches position x = 0.1 m is
(a) t =
S
24
(b) t =
24
47T
(c) t =
24
(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 0(t) is
written as a cosine function, then the phase constant o is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73d171bb-2fc4-4e0f-8c62-543b4b728594%2F614ad743-5ae8-48ce-8b79-62a58e00fa16%2Ffy5v2e_processed.jpeg&w=3840&q=75)
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