A block of mass 500 g is attached to a spring of spring constant 80 N/m. The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30 .The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. a) How much potential energy was stored in the block-spring-support system when the block was just released? Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. How far up the incline from the initial compressed position does the mass come to rest?
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 block of mass 500 g is attached to a spring of spring constant 80 N/m. The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30 .The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. a) How much potential energy was stored in the block-spring-support system when the block was just released? Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. How far up the incline from the initial compressed position does the mass come to rest?
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