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A uniform strut of mass m makes an angle ? with the
Chapter 11, Problem 59P(choose chapter or problem)
A uniform strut of mass m makes an angle \(\theta\) with the horizontal. It is supported by a frictionless pivot located at one third its length from its lower left end and a horizontal rope at its upper tight end. A cable and package of total weight w hang from its upper right end.
(a) Find the vertical and horizontal components V and H of the pivot’s force on the strut as well as the tension T in the rope.
(b) If the maximum safe tension in the rope is 700 N and the mass of the strut is 30.0 kg, find the maximum safe weight of the cable and package when the strut makes an angle of \(55.0^{\circ}\) with the horizontal.
(c) For what angle \(\theta\) can no weight be safely suspended from the right end of the strut?
Questions & Answers
QUESTION:
A uniform strut of mass m makes an angle \(\theta\) with the horizontal. It is supported by a frictionless pivot located at one third its length from its lower left end and a horizontal rope at its upper tight end. A cable and package of total weight w hang from its upper right end.
(a) Find the vertical and horizontal components V and H of the pivot’s force on the strut as well as the tension T in the rope.
(b) If the maximum safe tension in the rope is 700 N and the mass of the strut is 30.0 kg, find the maximum safe weight of the cable and package when the strut makes an angle of \(55.0^{\circ}\) with the horizontal.
(c) For what angle \(\theta\) can no weight be safely suspended from the right end of the strut?
ANSWER:Problem 59P
Solution 59 P
Step 1:
In this question, we need to find the horizontal component V and H of the pivot’s force on the strut and find the tension T in the rope
In the second part we need to find the maximum weight of the cable and packages when strut makes with the horizontal
We need to find the angle at which no weight can be safely suspended from the right end of strut
Data given
Mass of strut
Angle made
For second part
Maximum tension
Mass of strut
Angle made by strut