CLASS TEST: ONE
Time: 1 hr 30 min Max. Marks: 30
1) Answer the following question in brief 2 x 6 = 12
a) Distinguish clearly between composition of forces and resolution of forces.
b) Show that the algebraic sum of the resolved part of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction.
c) Differentiate between coplanar forces and concurrent forces clearly.
d) State and explain the laws of transmissibility of forces.
Newton’s third law of motion.
f) What is a couple? Explain its characteristics.
2) Answer any two of the following questions 6 x 3 = 18
a) A smooth circular cylinder of radius 1500 mm is lying in a triangular groove, the right side of which makes 20° angle and left side makes 40° angle with horizontal. Find the reaction at each contact if there is no friction and the cylinder weight is 400 N.
b) A right circular cylinder of weight 5 kN rests on a smooth inclined plane and is held in position by a cord AC as shown in the figure. Find the tension in the cord if there is a horizontal force of magnitude 1 kN acting at C.
c) Four forces of magnitude 10 kN, 18 kN, 15 kN and 12 kN are acting along the diagonals and sides of a regular pentagon as shown in the figure. Find the resultant force of the given force system.
d) Prove that if a body is at equilibrium under three forces, then the forces are concurrent forces.