A truck body weighing 4000 lb is carried by four light wheels that roll on the s

Question

A truck body weighing 4000 lb is carried by four light wheels that roll on the sloping surface. (see figure) The truck has a velocity of 5 ft / sec in the position shown. Determine the modulus of the spring if the truck is brought to rest by compressing the spring 6 in. Note: Light wheels with good bearings imply negligible friction.

A truck body weighing 4000 lb is carried by four light wheels that roll on the sloping surface. (see figure) The truck has a velocity of 5 ft / sec in the position shown. Determine the modulus of the spring if the truck is brought to rest by compressing the spring 6 in. Note: Light wheels with good bearings imply negligible friction.

Explanation / Answer

1/2 mv^2 +mgxsin10 =1/2 kx^2... m =4000 lbs g is acc due to gravity =32.2 ft /s^2 x =6 inch =0.5 ft hence from eq 1 v =5 ft/s k =489418.6 lbs/m

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