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Part A If the magnitude of the resultant force is to be 470N , directed along th

ID: 1768733 • Letter: P

Question

Part A

If the magnitude of the resultant force is to be 470N , directed along the positive y axis, determine the magnitude of force F.(Figure 1)

Express your answer to two significant figures and include the appropriate units.

Part B

If the magnitude of the resultant force is to be 470N , directed along the positive y axis, determine the force F direction ?.

Express your answer to two significant figures and include the appropriate units.

Part A

If the magnitude of the resultant force is to be 470N , directed along the positive y axis, determine the magnitude of force F.(Figure 1)

Express your answer to two significant figures and include the appropriate units.

Part B

If the magnitude of the resultant force is to be 470N , directed along the positive y axis, determine the force F direction ?.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

so if directed along y direction this means x directions is 0

so

F cos theta - 700*cos(15) = 0

F = 700*cos(15)/cos(theta)

and we know

F sin theta - 700*sin(15) = 470

plug in for F

700*cos(15)*tan(theta) - 700*sin(15) = 470

solve for tan

tan(theta) = 0.963

theta = 43.92 degrees

plug in to find F

F = 700*cos(15 degrees)/cos(43.92 degrees)= 938.7 N

b) already found it to be 43.92 degrees