HARD
AS and A Level
IMPORTANT
Earn 100

A wooden block of weight 20 N is at rest on a horizontal surface. It is pulled by a force of 30 N acting at 10° above the horizontal, as shown in the diagram, and remains at rest because of a horizontal frictional force, F.

Find the size of $F$ and the size of the normal contact force.

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Important Questions on Forces in Two Dimensions

MEDIUM
AS and A Level
IMPORTANT

A winch is dragging a caravan along a horizontal road at constant velocity. The caravan has mass 750 kg. The winch provides a force of 850 N and acts at angle θ above the horizontal, as shown in the diagram. There is friction of 700 N.

Draw the force diagram for this situation.

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HARD
AS and A Level
IMPORTANT

A winch is dragging a caravan along a horizontal road at constant velocity. The caravan has mass 750 kg. The winch provides a force of 850 N and acts at angle θ above the horizontal, as shown in the diagram. There is friction of 700 N.

Find the value of θ and size of the normal contact force.

 

HARD
AS and A Level
IMPORTANT

A box of weight 50 N is being dragged at constant velocity along a horizontal road by a force, F,, acting at 15° above the horizontal. It experiences friction of 10 N.

Draw the force diagram for this situation.

HARD
AS and A Level
IMPORTANT

A box of weight 50 N is being dragged at constant velocity along a horizontal road by a force, F,, acting at 15° above the horizontal. It experiences friction of 10 N.

Find F and the normal contact force.

HARD
AS and A Level
IMPORTANT
A small aeroplane of mass 5000 kg is towed along a runway at constant speed by a rope acting at 20° below the horizontal. There is friction and air resistance horizontally with total force 4000 N. Find the tension in the rope and the normal contact force.
HARD
AS and A Level
IMPORTANT

A wooden block is held in position by three horizontal forces, as shown in the diagram. One acts to the left with force 56 N. One acts with force F at an angle θ. where sinθ=35,, above the rightwards horizontal. One acts with force G at an angle φ, where sinφ=1517,, below the rightwards horizontal. Find F and G.

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HARD
AS and A Level
IMPORTANT
A block with weight 44 N is held in equilibrium by two ropes, one with tension, T1, acting at angle sin-11517 to the upwards vertical and the other with tension, T2, acting at angle sin-1513 to the upwards vertical. Find T1 and T2.
HARD
AS and A Level
IMPORTANT
A box with weight 400 N is at rest on a horizontal surface. A man is pulling on a rope to try to get the box to move. The force he can exert depends on the angle at which he holds the rope, so that when the rope is at an angle 1600sinθN above the horizontal, the force he exerts is 1600sinθN. He starts by holding the rope horizontally and gradually increases the angle, thereby increasing the force. Another man tries to prevent this motion of the box, by pulling horizontally. He can exert a maximum force of 700 N. Find the angle at which the box can no longer remain on the ground. Hence, determine whether the box lifts off the ground first or slides along the ground first.