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3. -33.34 points NorEngStatics1 5.P.050. My Notes + Ask Your Teacher Cable BD ca

ID: 1712399 • Letter: 3

Question

3. -33.34 points NorEngStatics1 5.P.050. My Notes + Ask Your Teacher Cable BD can withstand a maximum tension of 576 N. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) 2.25 m cable 6.75 m Determine the largest magnitude of force P in kilonewtons that may be applied to the plate kN Compute the corresponding reaction components for hinge A. (Indicate the direction with the sign of your answer. Enter the forces in kilonewtons and the moments in N·m.) kN kN kN N·m N·m Ay MA2 =

Explanation / Answer

Taking moment at A in Y-Z plane

576*(6.75+2.25) - P*2.25 = 0

P = 2304 N

P = 2.304 kN

Summation of forces in x direction = 0

Ax = 0

Summation of forces in y direction = 0

Ay = 0

Summation of forces in z direction = 0

Az +576 - 2304 = 0

Az = 1728 N

Az = 1.728 kN

Taking moment about the x axis

Max - 2304 *2 = 0

Max = 4608 N.m

Taking moment about the z axis

Maz = 0 N.m

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