Determine the magnitude of the resultant force acting on the hook. (Figure 1) Ex

Question

Determine the magnitude of the resultant force acting on the hook. (Figure 1) Express your answer to three significant figures and include the appropriate units. Determine the coordinate direction angle theta_x of the resultant force acting on the hook. Express your answer to three significant figures and include the appropriate units. Determine the coordinate direction angle theta_y of the resultant force acting on the hook. Express your answer to three significant figures and include the appropriate units. Determine the coordinate direction angle theta_z of the resultant force acting on the hook. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

f1 = f1 cos 30 i - f1 sin 30 k = 259.808 i - 150 k N

f2 = f2 cos 45 *sin 30 i+ f2 cos 45 *cos 30 j - f2 sin 45 k = 176.775 i + 306.183 j - 212.132 k N

f1+f2 = 336.583 i +306.183 j - 362.132 k N

fr = 581.432 N

angle between resultent and x axis = cosinv( frx/fr ) =cosinv (336.583/581.432) = 54.6270

angle between resultent and y axis = cosinv( frx/fr ) =cosinv (306.183/581.432)= 58.2230

angle between resultent and z axis = cosinv( frx/fr ) =cosinv (-362.132/581.432)= 128.523 0

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