There is a block that is moving along on a wooden plank that moves and follows simple harmonic motion with a frequency of 15 oscillations per minute. In one oscillation, the motion of the center of mass of the object spans 3 m along the x-axis. Please determine the minimum value of the static friction coefficient that stops the block from slipping? Please determine the position, velocity and acceleration of the block 0.5 second after going through the center of the trajectory in the negative x-direction?
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.
There is a block that is moving along on a wooden plank that moves and follows
- Please determine the minimum value of the static friction coefficient that stops the block from slipping?
- Please determine the position, velocity and acceleration of the block 0.5 second after going through the center of the trajectory in the negative x-direction?
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