a small block of mass m = 0.032 kg can slide along the frictionless loop-the-loop, with loop radius R = 12 cm. The block is released from rest at point P, at height h = 5.0R above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block–Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P, (d) at point Q, and (e) at the top of the loop? (f) If, instead of merely being released, the block is given some initial speed downward along the track, do the answers to (a) through (e) increase, decrease, or remain 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 small block of
mass m = 0.032 kg can slide along
the frictionless loop-the-loop, with
loop radius R = 12 cm. The block is
released from rest at point P, at
height h = 5.0R above the bottom
of the loop. How much work does
the gravitational force do on the
block as the block travels from point
P to (a) point Q and (b) the top of
the loop? If the gravitational potential
energy of the block–Earth system
is taken to be zero at the bottom
of the loop, what is that potential energy when the block is (c)
at point P, (d) at point Q, and (e) at the top of the loop? (f) If, instead
of merely being released, the block is given some initial
speed downward along the track, do the answers to (a) through (e)
increase, decrease, or remain the same?
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