Hello, can you guys answer these questions briefly so that ?I can be prepared fo

Question

Hello, can you guys answer these questions briefly so that ?I can be prepared for the next lecture

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If you drop a basketball it will bounce up and down. Can this motion be called an oscillation? Is it simple harmonic? Why/why not? Estimate the period (neglecting air resistance) of basketball bounces if you drop the ball from chest high? Oscillations are called simple harmonic if Below is a space for your thoughts, including general comments about today's assignment (what seemed impossible, what reading didn't make sense, what we should spend class time on, what was "cool", etc.):

Explanation / Answer

Theory : An oscillatory motion is called SHM if and only if the restoring force is directly proportional to the instantaneous displacement of the body. in mathematical terms: F = -kx

F = Force

k = constant of proportionality

x = displacement

(-)ve sign to show restoring nature.

1) When the ball is being dropped, the force on the ball is given as: F = Mg = weight which is constant. This doesn't follow the equation: F = -kx. Thus it's not an SHM.

2) Average height of a BB player = 2.2 m. Consider chest height to be 1.8 m. Time taken by ball to hit the ground = t = sqrt(2*H/g) = 0.606 s. However an oscillation is complete when the ball returns back. So, TIME PERIOD = 1.212 seconds.

3) On solving the equation of SHM, you get expression of Time period as: T = 2*pi/omega which is independent of amplitude. Thus the condition of SHM is : THE PERIOD IS INDEPENDENT OF AMPLITUDE.

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