Based off of this image, ASSUME that the pulley is going in the direction of the

Question

Based off of this image, ASSUME that the pulley is going in the direction of the heavier weight. What is the magnitude and direction of the normal force on EACH object? what is the magnitude and direction of the acceleration of the SYSTEM? What is the magnitude of Tension? At what time will the mass collide with the ground?

Explanation / Answer

the acceleration of the system is a m/s^2, by balancing the forces:- =>For Ma:- =>F(net) = T - Ma x gsin? =>Ma x a = T - 1.2 x 9.8 x sin35 =>T = 1.2a + 6.75 ----------------(i) =>For Mb:- =>F(net) = Mb x g - T =>Mb x a = Mb x g - T =>1.5a = 1.5 x 9.8 - T =>T = 14.70 - 1.5a ----------------(ii) =>By (i) & (ii) :- =>1.2a + 6.75 = 14.70 - 1.5a =>2.7a = 7.95 =>a = 2.94 m/s^2 The +ve sign of a is indicating that the assumption of direction of system motion was correct. (2) 2nd condition, for Ma:- =>0 = T - 1.2 x 9.8 x sin35* =>T = 6.75 N {answer for (3)} for Mb :- =>T = Mb x g =>6.75 = Mb x 9.8 =>Mb = 0.69 kg (4) By putting the value of a in (i) :- =>T = 1.2 x 2.94 + 6.75

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