1.3 Solutions
45
Fig. 1.34
Counterclockwise torque > clockwise torque
Fa > W
a
2
or
F > 0.5W
(1)
Condition for sliding is
F > μW
(2)
Comparing (1) and (2), we conclude that the cube will topple if μ > 0.5 and
will slide if μ < 0.5.
1.63 In Fig. 1.35 let the ladder AB have length L, its weight mg acting at G, the
CM of the ladder (middle point). The weight mg produces a clockwise torque
τ 1 about B:
Fig. 1.35
45
Fig. 1.34
Counterclockwise torque > clockwise torque
Fa > W
a
2
or
F > 0.5W
(1)
Condition for sliding is
F > μW
(2)
Comparing (1) and (2), we conclude that the cube will topple if μ > 0.5 and
will slide if μ < 0.5.
1.63 In Fig. 1.35 let the ladder AB have length L, its weight mg acting at G, the
CM of the ladder (middle point). The weight mg produces a clockwise torque
τ 1 about B:
Fig. 1.35