Calculating Force Needed to Move Crate of Books on Truck

AI Thread Summary
To calculate the force needed to move a crate of books on a truck using sloped planks, first determine the gravitational force acting on the crate, which is 981 N (100 kg x 9.81 m/s²). The normal force can be calculated using the angle of the slope (33°), resulting in a normal force of approximately 819.5 N. The frictional force, which opposes the motion, is found by multiplying the normal force by the coefficient of friction (0.4), yielding around 327.8 N. To maintain constant speed, the horizontal force applied must equal the frictional force, thus requiring a push of approximately 0.328 kN. Therefore, the force needed to keep the crate moving at constant speed is 0.328 kN.
lou429
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A crate of books is to be put on a truck with
the help of some planks sloping up at 33◦. The
mass of the crate is 100 kg, and the coefficient
of sliding friction between it and the planks is
0.4. You and your friends push horizontally
with a force ~F .
The acceleration of gravity is 9.81 m/s2 .
Once the crate has started to move, how
large must F be in order to keep the crate
moving at constant speed?
Answer in units of kN.
 
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