A tractor A is used to hoist the heavy body B with a pulley system as shown in figure. If the tractor has a velocity $25 km / hr$ towards right, find velocity (in $km / hr$ ) of the body B.

Question

A tractor A is used to hoist the heavy body B with a pulley system as shown in figure. If the tractor has a velocity 25 km / hr towards right, find velocity (in km / hr ) of the body B.

TestHub · Accepted Answer

Explain question :- the problem asks to find the velocity of body B. given the velocity of a factor A and a fully system. Concept :- constrained motion. solution :-

$\sum F \cdot v = 0 \Rightarrow (5 T) v_{B} + (T) v_{A} cos (18 0^{\circ} - 3 7^{\circ}) = 0$

$\Rightarrow v_{B} = \frac{v _{A} c o s 3 7 ^{\circ}}{5} = \frac{25 \times \frac{4}{5}}{5} = 4 km / h r$

Final answer :- the velocity of body B is 4 km/hr upwords.

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