A 0.80-kg object tied to the end of a 2.0-m string swings as a pendulum. At the lowest point of its swing, the object has a kinetic energy of 16 J. Determine the speed of the object at the instant when the string makes an angle of 50° with the vertical. a. 5.6 m/s b. 4.4 m/s c. 33 m/s d. 5.0 m/s 6.1 m/s e.
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:-A 0.80-kg object tied to the end of a 2.0-m string swings as a pendulum. At the
lowest point of its swing, the object has a kinetic energy of 16 J. Determine the
speed of the object at the instant when the string makes an angle of 50° with the
vertical.
a. 5.6 m/s
b. 4.4 m/s
c. 3.3 m/s
d. 5.0 m/s
e. 6.1 m/s
2:- A 0.04-kg ball is thrown from the top of a 30-m tall building (point A) at an
unknown angle above the horizontal. As shown in the figure, the ball attains a
maximum height of 10 m above the top of the building before striking the
ground at point B. If air resistance is negligible, what is the value of the kinetic
energy of the ball at B minus the kinetic energy of the ball at A (K, - K,)?
10 m
30 m
12J
b. -12J
c. 20J
d. -20J
е. 32]
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