Three sleds of masses m1 , m2 , m3 are on a smooth surface (ice) inclined at an angle θ relative to the horizontal and connected by ropes so that the sled 1 (mass m1 ) has the highest position, and the sled 3 (mass m3 ) has the lowest position. A rope pulls on the sled 1 parallel to an inclined surface in the upward direction with a force of magnitude T1 .
1.) Determine the acceleration of the sleds.
Express your answer in terms of some or all of the variables m1 , m2 , m3 , θ , and the gravitational constant
2.) Determine the magnitude of the tension in the rope that connects sled 1 (mass m1 ) and sled 2 (mass m2 ).
Express your answer in terms of some or all of the variables m1 , m2 , m3 , θ , and the gravitational constant g .
3.) Determine the magnitude of the tension in the rope that connects sled 2 (mass m2 ) and sled 3 (mass m3 ).
Express your answer in terms of some or all of the variables m1 , m2 , m3 , θ , and the gravitational constant g .
