(a) A bar PQ of length 1 m has its ends P and Q constrained to move horizontally and vertically as shown in Figure 6. The end P moves with constant velocity of $5 \mathrm{~m} / \mathrm{s}$ horizontally when the bar makes an angle of $30^{\circ}$ with the horizontal. Find (i) the angular velocity of the bar (ii) the velocity of the end $Q$ (iii) the velocity of the midpoint $M$. Figure 6

Explanation

To find the angular velocity, we use the formula ω = v / r. The velocity of end Q is found using the formula v_Q = v cos θ. The velocity of midpoint M is half the velocity of end P.


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