(a)
Impulse exerted on the rivet and the energy absorbed by the rivet if anvil has infinite mass.
Answer to Problem 13.148P
When anvil has infinite mass, the energy absorbed by the rivet is
The impulse exerted on the rivet is
Explanation of Solution
Given information:
Weight of hammer is
The velocity of the rivet is
“A force acting on a particle during a very short time interval but large enough to produce a definite change in momentum is called an impulsive force.”
Impulse momentum principle for impulsive motion is defined as
The total linear momentum of two particles is conserved. Therefore
Calculation:
Mass
Kinetic energy
Assume
Assume
Apply conservation of linear momentum.
Rearrange
Kinetic energy
Find the impulse
Rearrange:
If anvil has infinite mass
According to equation 1:
According to equation 2:
Energy absorbed by the rivet.
Impulse exerted on the rivet.
Conclusion:
When anvil has infinite mass, the energy absorbed by the rivet is
The impulse exerted on the rivet is
(b)
Impulse exerted on the rivet and the energy absorbed by the rivet if anvil has a weight of
Answer to Problem 13.148P
When anvil has a weight of
The impulse exerted on the rivet is
Explanation of Solution
Given information:
Weight of hammer is
The velocity of the rivet is
“A force acting on a particle during a very short time interval but large enough to produce a definite change in momentum is called an impulsive force.”
Impulse momentum principle for impulsive motion is defined as
The total linear momentum of two particles is conserved. Therefore
Calculation:
According to sub part a
Mass
The common velocity
The kinetic energy
Energy absorbed by the rivet.
The impulse
Conclusion:
When anvil has a weight of
The impulse exerted on the rivet is
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Chapter 13 Solutions
Vector Mechanics For Engineers
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