Question

The tractor has a weight of 4500 lb with center of gravity at G. The driving traction is developed at the rear wheels B, while the front wheels at A are free to roll. If the coefficient of static friction between the wheels at B and the ground is s = 0.5 possible to pull at P = 1200 lb without wheels at B to slip or the front wheels the ground.

4 of 5 The tractor has a weight of 4500 lb with center of gravity at G. The driving traction is developed at the rear wheels B, while the front wheels at A are free to roll. If the coefficient of static friction between the wheels at B and the ground is us-0.5 determine if it is possible to pull at P 1200 lb without causing the wheels at B to slip or the front wheels at A to lift off p the ground. 3.5 ft 1.25 ft 4 ft 2.5 ft

Answer 1

Slipping: + sigma M_A = 0: - 4500(4) - P(1.25) + N_B (6.5) = 0 sigma F_x = 0: P = 0.5 N_B P = 1531.9 lb N_B = 3063.8 lb Tipping (N_A = 0) sigma M_B = 0: - P(1.25) + 4500(2.5) = 0 P = 9000 lb Since P_Req'd = 1200 lb < 1531.9 lb It is possible to pull the load without slipping or tipping.