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and 
act at a point P in the directions shown in the diagram. Given that the resultant force has no component in the y-direction, calculate the value of 
.
, 
and 
act at a point O in the directions shown in the diagram. Given that the component of the resultant force in the x-direction is zero, find 
, and hence find the magnitude of the resultant force.
and 
act at a point P in the directions shown in the diagram. Given that 
, find the magnitude and direction of the resultant force.
, 
, 
and 
act at a point in the directions shown in the diagram. Find the magnitude and direction of the resultant force.
, 
and 
act at a point O, as shown in the diagram. The resultant of the three forces has magnitude 
and acts in a direction perpendicular to the force of magnitude 
and the value of 
.
, 
, 
and 
. The directions of the forces are as shown in the diagram. Given that the forces are in equilibrium, find the values of 
and 
. Given that 
, find the value of 
, 
and 
act at a point O in the directions shown in the diagram. Given that 
, find the magnitude and direction of the resultant of the three forces.
, 
and 
act at a point in the directions shown in the diagram. Given that 
and 
, find the magnitude and direction of the resultant of the three forces.
, 
and 
is 
. Find the magnitude of the resultant of the three forces and state its direction.
, 
, 
and 
, act at a point P, as shown in the diagram. Given that 
, and that the resultant of the four forces is in the direction of the 
.
