The leg and cast in the figure below weigh 309 N ( w 1 ). Determine the weight w

Question

The leg and cast in the figure below weigh 309 N (w1). Determine the weight w2 and the angle ? needed so that no force is exerted on the hip joint by the leg plus cast.

w2 = 1
Your response differs from the correct answer by more than 10%. Double check your calculations. N ? = 2
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. The leg and cast in the figure below weigh 309 N (w1). Determine the weight w2 and the angle ? needed so that no force is exerted on the hip joint by the leg plus cast. w2 = 1 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. Your response differs from the correct answer by more than 10%. Double check your calculations. N ? = 2

Explanation / Answer

110sin(40) + w2sin(?) = 309

Therefore w2sin(?) = 238.29

Also

110cos(40) = w2cos(?)

Therefore w2cos(?) = 84.26

Therefore tan? = 2.828

Therefore ? = 70.52 degree

w2 = 84.26/ cos(?) = 252.67 N

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