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A 200-kg cylinder is hung by means of two cables AB and AC that are attached to the top of a vertical wall. A horizontal force P perpendicular to the wall holds the cylinder in the position shown. Determine the magnitude of P and the tension in each cable.

Question-AnswerCategory: Engineering MechanicsA 200-kg cylinder is hung by means of two cables AB and AC that are attached to the top of a vertical wall. A horizontal force P perpendicular to the wall holds the cylinder in the position shown. Determine the magnitude of P and the tension in each cable.
Beer Johnston asked 1 year ago

A 200-kg cylinder is hung by means of two cables AB and AC that are attached to the top of a vertical wall. A horizontal force P perpendicular
to the wall holds the cylinder in the position shown. Determine the magnitude of P and the tension in each cable.

10 m8 m1.2 mB200kg|2 m12 m

1 Answers
Sazid Ahmad answered 1 year ago

Consider the diagram shown below for the given system.
Mechanical Engineering homework question answer, step 1, image 1
Here, TAB and TAC are the tension in the strings AB and AC respectively.
The position vector for the AB is,
Mechanical Engineering homework question answer, step 1, image 2
The position vector for AC is,
Mechanical Engineering homework question answer, step 1, image 3

Step 2

Tensions in the strings in the vector form can be represented as,
Mechanical Engineering homework question answer, step 2, image 1
Mechanical Engineering homework question answer, step 2, image 2

Step 3

From the equilibrium of forces,
Mechanical Engineering homework question answer, step 3, image 1
Mechanical Engineering homework question answer, step 3, image 2

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