A triangular frame consists of three identical rods, each of mass m and length l. It rests upright on a horizontal smooth surface with its lower right corner against a stop about which thhe frame could pivot. A horizontal force of magnitude F is applied to the upper come of the frame as shown in the figure. what is the largest value of F may have without causing the frame to pivot upward about the stop?

Options

A. `sqrt(3)mg`
B. 3 mg
C. `(mg)/(sqrt(3))`
D. `(3)/(2)mg`

Answer

A

Explanation

Since system is in rotational equilibrium so net torque on the system about C is zero is
`F_(max)xx(lsqrt(3))/(2)-3mg(l)/(2)=0`
`impliesF_(max)=sqrt(3)mg`