Question

Match the block diagrams of objects marked x with their corresponding free body diagrams. Blocks have mass m, pulleys & strings are massless.

• A. P - (iiI); Q - (viii); R - (vI)
• B. P - (i); Q - (iii); R - (vI)
• C. P - (ii); Q - (viii); R - (v)
• D. P - (iv); Q - (vi); R - (v)

Answer 1

The correct option is C

P - (ii); Q - (viii); R - (v)

As the string is slack, there will be no tension

$\therefore$ Free Body Diagram is

(Q)Free Body Diagram of pulley 3

Now $T_2=2T$as pulley is in equilibrium.

Therefore

Similarly for pulley 2 and 1

$\therefore$ Free Body Diagram of block

(R) Free body Diagram of x $\to$

As the pulley is in equilibrium.