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.
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=tan−1(v2rg)
=tan−1[100(10×10)]
=tan−1(1)
⇒ θ=45∘