Concept explainers
Two 150-mm-diameter pulleys are mounted on line shaft AD. The belts at B and C lie in vertical planes parallel to the yz plane. Replace the belt forces shown with an equivalent force-couple system at A.
Replace the given system with its equivalent force-couple system at POINT A.
Answer to Problem 3.120P
The equivalent force is
Explanation of Solution
Refer Fig P3.120. Its vector diagrams showing equivalent force-couple is given below.
Write the formula to calculate the resultant force pulley B.
Here,
Write the formula to calculate the net moment of couple on pulley B.
Here,
Write the formula to calculate the resultant force pulley C.
Here,
Write the formula to calculate the net moment of couple on pulley B.
Here,
Write the expression to calculate the net force on pulley.
Here,
Write the expression to calculate the resultant moment of couple about point A.
Here,
Write the determinant form to calculate
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Calculate
Calculate
Rewrite equation (IIX) by substituting equations (IX) and (X).
Therefore, the equivalent force is
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Chapter 3 Solutions
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