In the figure, block 2 of mass 2.70 kg oscillates on the end of a spring in SHM with a period of 20.00 ms. The position of the block is given by x (0.600 cm) cos(at + a/2). Block 1 of mass 5.40 kg slides toward block 2 with a velocity of magnitude 8.40 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t-5.00 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision? Number Units
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.
 alt="In the figure, block 2 of mass 2.70 kg oscillates on the end of a spring in SHM with a period of 20.00 ms. The position of
the block is given by x = (0.600 cm) cos(wt + x/2). Block 1 of mass 5.40 kg slides toward block 2 with a velocity of
magnitude 8.40 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time
t = 5.00 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after
the collision?
Number
Units
the tolerance is +/-5%
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