Calculating Force Needed to Move Crate of Books on Truck

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SUMMARY

To calculate the force needed to move a crate of books on a truck using sloped planks at an angle of 33°, the mass of the crate is 100 kg and the coefficient of sliding friction is 0.4. The gravitational acceleration is 9.81 m/s². The required horizontal force (F) to maintain constant speed after overcoming static friction is determined to be approximately 0.68 kN. This calculation involves resolving forces along the incline and applying the frictional force formula.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry
  • Familiarity with friction coefficients
  • Ability to perform force resolution in inclined planes
NEXT STEPS
  • Study the concept of static vs. kinetic friction in physics
  • Learn how to resolve forces on inclined planes
  • Explore applications of Newton's second law in real-world scenarios
  • Investigate the effects of different angles on frictional force calculations
USEFUL FOR

Physics students, engineers, and anyone involved in logistics or material handling who needs to understand the forces involved in moving heavy objects on inclined surfaces.

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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