Concept explainers
A package is thrown down an incline at A with a velocity of 1 m/s. The package slides along the surface ABC to a conveyor belt that moves with a velocity of 2 m/s. Knowing that
(a)
To calculate:
The speed of package atC.
Answer to Problem 13.12P
The speed of package at C:
Explanation of Solution
Given information:
Velocity atA:
Friction coefficient between the package and the surfaceABC:
Velocity of belt:
Distance betweenAandB,
Distance betweenBandC,
Calculations:
Draw the free body diagram of the block on inclineAB:
Free body diagram of the block on level surfaceBC:
Assume that there is no loss of energy at cornerB.
Applying concept of Work and energy:
Solving the equation for
Conclusion:
The answer is calculated by a trigonometric equation and concept of work and energy.
(b)
To calculate:
The distance a package will slide on a conveyor belt before it comes to rest relative to the belt.
Answer to Problem 13.12P
The distance travelled by the package:
Explanation of Solution
Given information:
Friction coefficient between the packages and the surfaceABC:
Velocity of belt:
Speed of package atC:
Calculations:
For the motion of box on the conveyor belt:
Let
Applying the concept of work and energy:
Conclusion:
The distance travelled by the package is calculated by the concept of work and energy and equating the values of mv2, mg and mv2 belt.
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Chapter 13 Solutions
Vector Mechanics For Engineers
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