Question

A rectangular plate is acted upon by the force and couple shown. This system is to be replaced with a single equivalent force. ( $a$ ) For $\alpha=40^{\circ},$ specify the magnitude and line of action of the equivalent force. ( $b$ ) Specify the value of $\alpha$ if the line of action of the equivalent force is to intersect line $C D 300 \mathrm{mm}$ to the right of $D .$ (Figure cant copy)

          A rectangular plate is acted upon by the force and couple shown.
This system is to be replaced with a single equivalent force. ( $a$ ) For
$\alpha=40^{\circ},$ specify the magnitude and line of action of the equivalent
force. ( $b$ ) Specify the value of $\alpha$ if the line of action of the equivalent
force is to intersect line $C D 300 \mathrm{mm}$ to the right of $D .$
(Figure cant copy)

Added by Oscar C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

10/28/2022

Step 1

The force F1 is acting downwards with a magnitude of 200N and the force F2 is acting upwards with a magnitude of 100N. The couple M is acting in the clockwise direction with a magnitude of 50Nm. The equivalent force Feq can be calculated as follows: Feq = F1 + Show more…

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A rectangular plate is acted upon by the force and couple shown. This system is to be replaced with a single equivalent force. ( $a$ ) For $\alpha=40^{\circ},$ specify the magnitude and line of action of the equivalent force. ( $b$ ) Specify the value of $\alpha$ if the line of action of the equivalent force is to intersect line $C D 300 \mathrm{mm}$ to the right of $D .$ (Figure cant copy)