(a)
Find the impulsive force
(a)
Answer to Problem 13.148P
The impulsive force
Explanation of Solution
Given information:
The weight of the hammer (W) is
The velocity of the hammer
The acceleration due to gravity (g) is
Calculation:
Show the free body momentum diagram of the hammer head and anvil as Figure (1).
Use the principle of conservation of momentum to the impact of hammer head and anvil, to obtain the final velocity of anvil and hammer after the impact.
The expression for the principle of conservation of momentum as follows;
Initially the anvil is at rest, so the velocity will be zero.
Substitute 0 for
Show the free body impulse-momentum diagram of the hammer head as in Figure (2).
Use the principle of the impulse momentum to the hammer head to find the impulse exerted
The expression for the principle of the impulse momentum as follows;
Calculate the mass of the hammer
Substitute
The expression for the kinetic energy of the hammer before impact
Substitute
Calculate the final kinetic energy of the hammer and anvil system after the impact
Substitute
Substitute
Calculate the mass of the anvil
Here,
Substitute
Consider the equation (1).
Substitute
Consider the equation (2).
Substitute
Calculate the energy absorbed by the rivet
Consider the equation (3).
Substitute
Calculate the energy absorbed by the rivet under each blow
Substitute
Therefore, the impulsive force
(b)
Find the impulsive force
(b)
Answer to Problem 13.148P
The impulsive force
Explanation of Solution
Given information:
The weight of the hammer (W) is
The velocity of the hammer
The acceleration due to gravity (g) is
Calculation:
Calculate the impulse exerted by the rivet
Calculate the mass of the anvil
Substitute
Consider the equation (1).
Substitute
Consider the equation (2).
Substitute
Consider the equation (3).
Substitute
Calculate the energy absorbed by the rivet under each blow
Substitute
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Chapter 13 Solutions
Connect 2 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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