-In the figure,a block of mass M hangs in equilibrium.The rope that is fastened to the wall is horizontal and has a tension of 38 N.The rope that is fastened to the ceiling has a tension of 59 N and makes an angle Θ with the ceiling.The angle Θ is:
A)50°
B)40°
C)33°
D)65°
E)45°

Question

-In the figure,a block of mass M hangs in equilibrium.The rope that is fastened to the wall is horizontal and has a tension of 38 N.The rope that is fastened to the ceiling has a tension of 59 N and makes an angle Θ with the ceiling.The angle Θ is:
A)50° 
B)40° 
C)33° 
D)65° 
E)45°

Quizplus · Accepted Answer

The horizontal component of the tension in the ceiling rope must equal the tension in the horizontal rope. Using trigonometry, 59 * cos(Θ) = 38. Solving for Θ gives approximately 50°.

-In the Figure,a Block of Mass M Hangs in Equilibrium