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 8(t) is written as a cosine function, then the phase constant o is: (a)-/2 (b)0 (c) +/2 (d)z 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; rmax = 3.44 m/s (b)Amax 2.89 cm; v = 0.75 m/s (c) hmax = 1.87 cm; v = 0.75 m/s (d) hmax = 2.89 cm; vmax = 3.44 m/s 8) A simple pendulum of length L and mass M has frequencyf 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 2L (d)increase its length to 4L 9) A simple pendulum of length L is set to oscillate in simple harmonic 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: (a)v = tvmax/2 (b)v =tVmax/4 (c) v= tmaxV2/2 (d)v = tvmaxV3/2 A simple pendulum of lengtb Lis set to oscillate in simple harmonic motion. The bob gravitational potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h= 10)
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 8(t) is written as a cosine function, then the phase constant o is: (a)-/2 (b)0 (c) +/2 (d)z 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; rmax = 3.44 m/s (b)Amax 2.89 cm; v = 0.75 m/s (c) hmax = 1.87 cm; v = 0.75 m/s (d) hmax = 2.89 cm; vmax = 3.44 m/s 8) A simple pendulum of length L and mass M has frequencyf 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 2L (d)increase its length to 4L 9) A simple pendulum of length L is set to oscillate in simple harmonic 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: (a)v = tvmax/2 (b)v =tVmax/4 (c) v= tmaxV2/2 (d)v = tvmaxV3/2 A simple pendulum of lengtb Lis set to oscillate in simple harmonic motion. The bob gravitational potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h= 10)
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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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Transcribed Image Text: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 8(t) is
written as a cosine function, then the phase constant o is:
(a)-/2
(b)0
(c) +x/2
(d)z
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; max = 3.44 m/s
(b)Amax
2.89 cm; v = 0.75 m/s
(c) hmax = 1.87 cm; va = 0.75 m/s
(d) hmax = 2.89 cm; vmax = 3.44 m/s
8) A simple pendulum of length L and mass M has frequencyf 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 2L
(d)increase its length to 4L
9) A simple pendulum of length L is set to oscillate in simple harmonic 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:
(a)v = tvmax/2
(b)v =tVma/4
(c) v=tmaxV2/2
(d)v = tVmaxV3/2
A simple pendulum of length L is set to oscillate in simple harmonic motion. The bob gravitational
potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h=
10)
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