Three blocks are suspended as shown in the figure. The acceleration of the 500 g block is

Step-by-step solution

500 g - T = 500 a       … … (1) T - 100 g sin ⁡ 30 ° - T ′′ = 100 a Or, T - T ′′ - 50 g = 100 a       … … (2) Again, T ′′ - 50 g = 50 a       … … (3) From equations (2) and (3), T - 100 g = 150 a       … … (4) Adding equations (1) and (4), 400 g = 650 a or a = 400 g 650 = 8 g 13 This acceleration is downwards.