Please answer the following question clearly and show your work. Item 1 A metal

Question

Please answer the following question clearly and show your work. Item 1 A metal bar is in the xy plane with one end of the bar at the origin. A force F-(615 N i -2.64 N )j is applied to the bar at the point z 2.72 m y 3.41 m Part A What is the position vector for the point where the force is applied? Enter the x and y components of the radius vector separated by a comma. Submit My Answers Give Up Part B What are the magnitude of the torque with respect to the origin produced by F? Express your answer with the appropriate units. T. Value Units Submit My Answers Give Up

Explanation / Answer

A m

A metal bar is in the XY plane with one end of the bar at the origin. A force F = 6.15N i +(-2.64N)j is applied to the bar

at x=2.72 m and y = 3.41m.

What is the position vector r for the point where the force is applied.

What are the magnitude of the torque with respect to the origin produced by F.

a) The position vector is given by 2.72i+3.41j

the x-component is 2.72m and y-component is 3.41m

b) The torque produced is given by r x F

= [6.15N i +(-2.64N)j] x [2.72i+3.41j] = 28.15 k

(Here I have calculated the cross product by taking k vectors as zero)

The magnitude of torque is 28.15 N-m

c) The direction of torque is along positive z- direction

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