A car of mass arrives at a steep upwards slope of length at to the horizontal. It is travelling at and there is air resistance of Find the minimum force, assumed constant, the engine must provide for the car to reach the top of the slope.
Important Questions on Forces in Two Dimensions
A particle of mass is at rest and has two forces acting on it. One has magnitude and the other has magnitude They act in the directions shown. Find the magnitude and direction of acceleration of the resulting motion.
A boat has its motor running, creating a force of The wind is blowing it with a force of The directions of the forces are shown on the diagram. Find the direction of the subsequent motion.
A particle of mass has two forces acting on it, one of and one of in the directions shown. Find the magnitude and direction of the resulting acceleration.
Three coplanar forces act on a particle, as shown in the following diagram. has components in the -direction and in the -direction. has components in the -direction and in the -direction. has components in the -direction and in the -direction. Find the magnitude and direction of the resultant of the three forces.
Four coplanar forces act on a particle, as shown in the following diagram. Show that the component and component of the resultant are equal. Hence, determine the direction of the resultant force.
In a competition of strength, four people pull a mass with ropes at different angles. The direction in which the mass moves determines the winner. Arjun wants the mass to go north, Bob wants it to go east, Chen wants it to go south and David wants it to go west. The men pull with the forces in the directions shown in the diagram. Find the direction of the resultant motion and determine who wins.
