Block A of weight 100 N rests on a frictionless inclined plane of slope angle $30 °$ as shown in the figure. A flexible cord attached to A passes over a frictionless pulley and is connected to block B of weight W. Find the weight W for which the system is in equilibrium.

Question

Smart Achievers · Accepted Answer

(2)

As the system is in equilibrium,

$∴$ $T = W$ $\dots (i)$

and $T = m g \sin 30 °$ $\dots (i i)$

From (i) and (ii), we get

$W = m g \sin 30 ° = (100 N) \times \frac{1}{2} = 50 N$

Solution

Q.
Block A of weight 100 N rests on a frictionless inclined plane of slope angle $30 °$ as shown in the figure. A flexible cord attached to A passes over a frictionless pulley and is connected to block B of weight W. Find the weight W for which the system is in equilibrium.

1 25 N

2 50 N

3 75 N

4 100 N

Ans.
(2)

As the system is in equilibrium,

$∴$ $T = W$ $\dots (i)$

and $T = m g \sin 30 °$ $\dots (i i)$

From (i) and (ii), we get

$W = m g \sin 30 ° = (100 N) \times \frac{1}{2} = 50 N$

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