Question

A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal acceleration a.

(a) The string makes an angle of tan^-1 (a/g) with the vertical.

(b) The string makes an angle of tan^-1 (1 - a/g) with the vertical.

(c) The tension in the string is m √(a² + g²).

(d) The tension in the string is m √(g² - a²).

Answer 1

Correct Answer is: (a, c)

T cos θ = mg

T sin θ = ma

∴ tan θ = a/g.

T = m√(g² + a²) .