Two objects are connected by a light string that passes over a frictionless pull

Question

Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and takem1= 2.00 kg,m2=7.50kg, and?=56.5.

Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and takem1= 2.00 kg,m2=7.50kg, and?=56.5. (a) Draw free-body diagrams of both objects. (b) Find the magnitude of the accelerations of the objects. m/s^2 (c) Find the tension in the string. N (d) Find the speed of each object2.50s after being released from rest. m/s

Explanation / Answer

b)T = m1g+m1a and T+m2a = m2gsin(56.5) =>m1g+(m1+m2)a = m2gsin(56.5) =>a = ((7.5*9.81*sin(Radians(56.5)))-(2*9.81))/(2+7.5) = 4.393 m/s^2 c)T = 2*(9.81+4.39296309) = 28.406 N d)V = u+at and u = 0 =>V = at =>V = (4.39296309*2.5) = 10.9824 m/s

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