Concept explainers
The maximum rate at which the driver can decelerate and still avoid having the crate slide against the cab of the truck.
Answer to Problem 38P
Solution:
The maximum rate at which the driver can decelerate and still avoid having the crate slide against the cab of the truck is 7.35m/s2.
Explanation of Solution
Given:
The coefficient of static friction between the crate and the bed of the truck (µ) is 0.75.
Formula used:
Frictional force F is obtained by:
Where,
The normal force would be equal to the weight.
From Newton’s second law of motion.
Where, m is the mass and a is the acceleration.
Calculation:
The maximum decelerating force that can be applied is equal to the static frictional force.
Conclusion:
Hence the maximum rate at which the driver can decelerate and still avoid having the crate slide against the cab of the truck is 7.35m/s2.
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