1. An inventor patents a "golf machine". It consists of a "golf club" which is really a pendulum of length L = 2 (m), with a massles string and a mass M = 30 (kg) on the end. By pulling back on the pendulum until the string makes an angle 0= 10° from the vertical, and then releasing it from rest, the golf club strikes the "golf ball" exactly horizontally. The golf ball is a mass m = 0.1 (kg) that rests on a platform which is h = 20 (cm) above the horizontal ground. Assume that all collisions are elastic and all masses are point masses. Finally you should ignore air resistance but gravity acts down as usual. L %3D M) m h How far does m travel horizontally (before it hits the ground)? |How long does it take from the time M is released from rest to the time it strikes m? [Hint: think pendulum]
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.
![1. An inventor patents a "golf machine". It consists
of a "golf club" which is really a pendulum of
length L = 2 (m), with a massles string and a mass
M = 30 (kg) on the end. By pulling back on the
pendulum until the string makes an angle 0= 10°
from the vertical, and then releasing it from rest,
the golf club strikes the "golf ball" exactly
horizontally. The golf ball is a mass m = 0.1 (kg)
that rests on a platform which is h = 20 (cm)
above the horizontal ground. Assume that all
collisions are elastic and all masses are point masses. Finally you should ignore
air resistance but gravity acts down as usual.
L
%3D
M)
m
h
How far does m travel horizontally (before it hits the ground)?
|How long does it take from the time M is released from rest to the
time it strikes m? [Hint: think pendulum]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a4a1727-156d-4ade-b12f-025bad03a8ba%2Fee8e37e9-b062-4646-9505-dcb34a357fcf%2Fapeqpv_processed.png&w=3840&q=75)
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