A ball of mass m is attached to one end of a horizontal cord of length L and the

Question

A ball of mass m is attached to one end of a horizontal cord of length L and the other end
is fixed as shown in the figure below.

(a) If the ball is released from rest, what will be its speed at the lowest point of its path?

(b) A peg is located a distance h directly below the point of attachment of the cord. If h= 0.75 L, what will be the speed of the ball when it reaches the top of its circular path about the peg?

(c) When the ball reaches the top of its circular path about the peg, what is the tension in the

cord?

 

 

A ball of mass m is attached to one end of a horizontal cord of length L and the other end is fixed as shown in the figure below. (a) If the ball is released from rest, what will be its speed at the lowest point of its path? (b) A peg is located a distance h directly below the point of attachment of the cord. If h= 0.75 L, what will be the speed of the ball when it reaches the top of its circular path about the peg? (c) When the ball reaches the top of its circular path about the peg, what is the tension in the cord?

Explanation / Answer

1)v1=(2gL)

v2^2=v1^2-2g*0.5L

2)v2=gL

3)T+mg=mv2^2/0.25L

T=mg+4mg=5mg

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