Question

A rod I m long is acted upon by a couple as shown in the figure. The moment of couple is τ Nm. If the force at each end of the rod, then magnitude of each force is ______.
(sin 30° = cos 60° = 0.5)

Options

• `tau/l`

• `l/(2tau)`

• `(2tau)/l`

• `(2l)/tau`

Answer 1

A rod I m long is acted upon by a couple as shown in the figure. The moment of couple is τ Nm. If the force at each end of the rod, then magnitude of each force is `underline((2tau)/l)`.

Explanation:

Length of rod = I

Moment of couple,

τ = FI sin θ

`therefore "F" = tau/(l  sin theta) = tau/(l  sin 30^circ) = tau/(l xx 1/2)`

Force, F = `(2tau)/l`