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 take m1 = 2.00 kg, m2 = 7.35 kg, and θ = 50.0°.

http://www.webassign.net/serpse8/5-p-030.gif

1) Find the magnitude of the accelerations of the objects. (m/s^2)
2)Find the tension in the string. (N)
3)Find the speed of each object 2.50 s after being released from rest. (m/s)

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 take m1 = 2.00 kg, m2 = 7.35 kg, and θ = 50.0°.

http://www.webassign.net/serpse8/5-p-030.gif

1) Find the magnitude of the accelerations of the objects. (m/s^2)
2)Find the tension in the string. (N)
3)Find the speed of each object 2.50 s after being released from rest. (m/s)

anonymous · Answer

a)|dw:1329462014201:dw|
$$m _{2}gsin \theta-T=m _{2}a$$&$$T-m _{1}g=m _{1}a$$
so if you discard "T" from 2 equation yields a