Two dogs pull horizontally on ropes attached to a post; the angle between the ro

Question

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.0 .

Part A

If dog A exerts a force of 280 N and dog B exerts a force of 330 N , find the magnitude of the resultant force.

Part B

Find the the angle the resultant force makes with dog A's rope.

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.0 .

Part A

If dog A exerts a force of 280 N and dog B exerts a force of 330 N , find the magnitude of the resultant force.

Part B

Find the the angle the resultant force makes with dog A's rope.

Explanation / Answer

(a) R = 280^2 + 330^2 + 2 *280*330* cos60 = 528.867 N

(b)the angle the resultant force makes with dog A's rope:
R/sin 60 = 330/sin
sin = 330 * sin 60/ 528.867 = 0.54038
= arc sin (0.54038) = 32.71 degrees

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