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Question

A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 36 km/h. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. Take g = 10 m/s2.


Solution

A Pendulum is suspended from the ceiling of a car taking a turn.

f = 10 m,

v = 36 km/hr

= 10 m/sec,

g=10 m/sec2

From the figure,

T sin θ=mv2r           ...(i)

T cos θ=mg           ...(ii)

    (sin θcos θ)=(mv2rmg)

    tan θ=(v2rg)

     θ=tan1(v2rg)

=tan1[100(10×10)]

=tan1(1)

    θ=45

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