A 5000-lb truck is being used to lift a 1000-lb boulder B that is on a 200-lb pallet A. Knowing that the truck starts from rest and that the horizontal force between the tires and the ground is 700 lb, determine the velocity of the boulder after the truck has moved forward 6 ft.

Question

Engineering

Octavio Harmon

14 October, 22:53

A 5000-lb truck is being used to lift a 1000-lb boulder B that is on a 200-lb pallet A. Knowing that the truck starts from rest and that the horizontal force between the tires and the ground is 700 lb, determine the velocity of the boulder after the truck has moved forward 6 ft.

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Mariana Singleton · Answer 1

Total weight being moved = 5000+1000+200

= 6200 lb.

Force applied = 700 lb

= 700 x 32 = 22400 poundal.

acceleration (a) = 22400 / 6200

= 3.613 ft / s²

To know velocity after 6 ft we apply the formula

v² = u² + 2as

v² = 0 + 2 x 3.613 x 6

43.356

v = 6.58 ft/s