Question

A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is ______

(g = 10 m/s²) 

विकल्प

• cos^-1(0.05)

• cos^-1(0.2)

• cos^-1(0.4)

• cos^-1(0.1)

Answer 1

A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is cos^-1(0.1).

(g = 10 m/s²)

Explanation:

 

L = 2 m

m = `100/1000 = 0.1`kg

TcosΦ = mg

TsinΦ = `(mv^2)/R`

cosΦ = `(mg)/T = (0.1 xx 10)/10 = 0.1`

∴ Φ = cos^-1(0.1)