Concept explainers
A 4-lb bar is attached to a 10-lb uniform cylinder by a square pin, P, as shown. Knowing that
The reactions at P.
Answer to Problem 16.116P
The reactions at P is
Explanation of Solution
Given information:
Find the mass of the cylinder (mD):
Find the moment of inertia of the cylinder.
Substituting the values we get,
Find the mass of the bar.
Find the moment of inertia for bar.
Substituting all the values we get,
Here, the tangential component of acceleration of point C is zero.
Find the tangential acceleration at point C.
Substituting the required values we get,
Then, the formula for tangential acceleration of point P is
Substituting the values we get,
Find the centripetal acceleration at point P.
Substituting the values we get,
Consider the free body diagram of cylinder.
First, take the moment about point C.
Here, the system of external forces is equal to system of effective forces.
Find the above values.
We get,
Substituting all the required values in equation 4 we get,
Consider the equation (1).
Similarly, consider equation (2).
Take the free body diagram for bar.
Here, also the system of external forces is equivalent to system of effective forces.
And the force is considered to be positive.
Find the value of
Find the value of
Substituting the values in equation (5) we get,
Again the statement of system of external forces is equivalent to system of effective forces.
Find the value of
Find the value of
Consider the equation 6 and substitute the values.
Find the resultant reaction at point P.
Find the resultant angle of reaction.
Take the moment about point P.
Take the moment as clockwise and positive.
Find the value of
Find the value of
Substituting the values in above equation we get,
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Chapter 16 Solutions
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