The figure shows a pair of pin-jointed gripper tongs holding

The figure shows a pair of pin-jointed gripper tongs holding an object weighing 2000 N. The coefficient of friction μ at the gripping surface is 0.1. XX is the line of action of the input force and YY is the line of application of gripping force. If the pin- joint is assumed to be friction less, the magnitude of force F required to hold the weight is

For vertical equilibrium 2F_r = 2000 N
F_r = 1000 N
F_r = m . R_N
1000 = 0.1 R_N

R_N =	1000	= 10000 N.
	0.1

Taking moment about P, we have

0.3 × F = RN × 0.150
0.3F = 10000 × 0.150

F =	1000 × 0.15
	0.3

=	10,000 × 15	= 5000 N.
	30