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Q.

A simple pendulum of length l and mass m is initially at its lowest position . It is given the minimum horizontal speed necessary to move in a circular path about the point of suspension. The tension in the string at the lowest position of the bob is:

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a

6 mg

b

3 mg

c

4 mg

d

5 mg

answer is D.

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Detailed Solution

T-mg cosθ=mu2R

Here, T  is tension in string, m is mass attached,

g is acceleration due to gravity,   θ is angle made by string with vertical,

u is velocity of mass m and R is radius of the circle.

At lowest position θ=0, cos 0=1,then:

T-mg=m5gR2R T=6mg
 

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