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Solution: A horizontal, nonuniform beam of mass M and length ℓ is hing...

Question

A horizontal, nonuniform beam of mass M and length ℓ is hinged to a vertical wall at one side, and attached to a wire on the other end. The bar is motionless and a wire exerts a force T at an angle of φ with respect to the vertical. If the mass of the beam is 7 kg, the tension in the wire is 35 N, sin φ = 3/5 and cos φ = 4/5, how far is the center of mass of the beam from the hinge? The acceleration due to gravity is 10 m/s2.

1. 0.32 ℓ

2. 0.5 ℓ, of course

3. 0.4 ℓ 

4. Not enough information is given.

5. 0.18 ℓ

6. 0.16 ℓ

7. 0.375 ℓ

8. 0.666667 ℓ

9. 0.3 ℓ

10. 0.625 ℓ