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Problems
4.1 Find the resultant of the following forces.
4.2 Find the components of a force of 50 N making an angle of 30° with x-axis.
4.3 Find the magnitude and direction of a force if its x-component is 12 N and y-component is 5 N.
4.4 A force of 100 N is applied perpendicularly on a spanner at a distance of 10 cm from a nut. Find the torque produced by the force.
4.5 A force is acting on a body making an angle of 30° with the horizontal. The horizontal component of force is 20 N. Find the force.
4.6 The steering of a car has a radius of 16 cm. Find the torque produced by a couple of 50 N.
4.7 A picture frame is hanging by two vertical strings. The tensions in the strings are 3.8 N and 4.4 N. Find the weight of the picture frame.
4.8 Two blocks of masses 5 kg and 3 kg are suspended by two strings. Find the tension in each string.
4.9 A nut has been tightened by a force of 200 N using a 10 cm long spanner. What length of spanner is required to loosen the same nut with a 150 N force?
4.10 A block of 10 kg is suspended at a distance of 20 cm from the center of a 1 m long uniform bar. What force is required to balance it at its center by applying the force at the other end of the bar?