Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Question

Mathematics

Spears

10 March, 05:09

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

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Answers (1)

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Billy · Answer 1

F_x = 150cos 30 - 75cos 30 = 64.95

F_y = 150sin 30 + 75sin 30 = 112.5

R = sqrt (64.95^2 + 112.5^2) = sqrt (16874.75) = 129.90

Direction of R is arctan (112.5/64.95) = arctan (1.73) = 59.97°