When the mass of a simple pendulum is doubled, how does the time t required for one complete oscillation change? * a. Decreases to ½ t b. Decreases to 4t c. Increases to 2t d. Remains the same
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.
A massless, ideals spring projects horizontally from a wall and is connected to a 1 kg mass. The mass is oscillating in one dimension, such that it moves 0.5 from one end of its oscillation to the other. It undergoes ten complete oscillations in 30 s. What is the period of the oscillation?
![When the mass of a simple pendulum is doubled, how does the time t required for one
complete oscillation change? *
a. Decreases to ½ t
b. Decreases to 4t
c. Increases to 2t
d. Remains the same
A transverse wave has the following properties: amplitude = 2 m, frequency = 6 Hz, wave
speed = 5 m/s. The wave is propagating in the +x direction at t=0 and x-0, y=0. What is the
wave function? *
a. y = (2 m) sin [(6 rad/s)t - (5 m^(-1))x]
O b. y = (2 m) sin [(6 rad/s)t – (7.5 m^(-1))x]
O c. y = (2 m) sin [(37.7 rad/s)t – (6 m^(-1))x]
O d. y = (2 m) sin [(37.7 rad/s)t – (7.5 m^(-1))x]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7262955-7b23-4b02-abd1-1e5e5dec7970%2F2e996e41-f18e-4a2f-8149-88f4519e5b26%2Fiykmotl_processed.png&w=3840&q=75)
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