44. the cement bag shown in the figure has a mass of 50 kg and the small pulley has a mass of 2 kg. if the…

Explanation:

Step1: Analyze the forces acting on the system

The total mass being lifted is (m = 50 + 2=52\space kg). The force due to gravity is (F_g=mg), where (g = 10\space m/s^2). The net force (F_{net}) causing the acceleration (a = 2\space m/s^2) is (F_{net}=ma).

Step2: Use the pulley - force relationship

For a pulley system, if the force pulling the rope is (F), and considering the tension in the rope. The total force acting on the system (cement bag + small pulley) is (3F) (because of the way the rope is arranged around the pulleys). According to Newton's second law (F_{net}=3F-(m)g) and (F_{net}=ma). So, (3F= m(a + g)). Substitute (m = 52\space kg), (a=2\space m/s^2) and (g = 10\space m/s^2) into the equation (3F=52\times(2 + 10)). [3F=52\times12] [F=\frac{52\times12}{3}] [F = 208\space N]

Answer:

(208\space N)