Calendar: 1866-1867 Page 478

480 APPLIED SCIENCES cities before impact and 10 ft respectively find their velocity after impact and the work lost by it In cricket match round-hand bowler delivers the ball level with the shoulder at height of ft in horizontally and it just rises to the height of the bails 32 inches the distance between the wickets being 22 yards find the velocity with which the ball leaves the hand and where it strikes the ground also find the modulus of elasticity between the ball and the ground 10 When body moves round curve show that the force required to keep it in the curve is railway train moves with velocity of 20 miles an hour round curve of which the radius is 900 feet find the rise of the outer rail the breadth between the rails being feet 11 Define simple pendulum How may the value of be found by means of second pendulum If the length of such pendulum be increased by yth part of the whole find the number of seconds lost in 12 hours FIRST YEAR State and illustrate the principle of Transmission of Force What is meant by the Triangle of forces and how is it established Two forces of and lbs have resultant of lbs Find the angle at which they are inclined to each other When forces act on body and not at the same point what is the condition of equilibrium Prove it for two parallel forces acting on straight lever force of 50 lbs acts at an angle of 45 at one end of straight lever which is feet long and balances force of lbs acting at right angles to the lever at the other end Find the arms of the lever What is the centre of gravity of body Find the position of the centre of gravity of three equal weights placed at the angles of triangle