
A truck of mass is being towed by two ropes. One pulls with a tension of at an angle of to the direction of motion. The other pulls with a tension, at an angle of to the direction of motion. There is resistance of against the motion, in the same line as the motion.
Find and the acceleration of the truck.
Important Questions on Forces in Two Dimensions

A train of mass tonnes provides a driving force of to accelerate up a slope at an angle of to the horizontal. The force diagram is shown. Find the acceleration of the train.

A log of mass is dragged up a slope at an angle of to the horizontal by a rope attached to a truck. The rope is at an angle of above the slope.
Draw the force diagram for this situation.

A log of mass is dragged up a slope at an angle of to the horizontal by a rope attached to a truck. The rope is at an angle of above the slope.
The log accelerates at Find the tension in the rope.


A buoy of mass is on the surface of a lake. The tide pushes it with a force of and the wind pushes it with a force of as shown in the diagram. The buoy moves in the direction shown. Find the value of and the acceleration.


