The velocity of the block when
Answer to Problem 1FP
The velocity of the block at the position of
Explanation of Solution
Given:
The mass of the block is
The force acting on the block is
The stiffness of the spring is
Initially the block is at rest
Draw the free body diagram of the block as shown in Figure (1).
Write the formula to calculate the work done by the force
Here,
Write the formula to calculate the work done by the spring force
Here,
Write the formula for kinetic energy
Here,
Write the formula for Principle of Work and Energy.
Here,
Conclusion:
Calculate the Work done on the block while having the displacement of
force
The force
Substitute
Calculate the Work done on the block while having the displacement of
spring force
Substitute
Calculate total work done on the block
Substitute
Calculate the initial and final kinetic energy of the block.
At initial:
The block is at rest.
At final:
Substitute
Calculate the final velocity of the block at
Substitute
Thus, the velocity of the block at the position of
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Chapter 14 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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