Calendar: 1879-1880 Page 629

APPLIED SCIENCES 629 shaft After how many seconds will the first stone overtake the second and at what depth in the pit Show that the velocity acquired by bodies in falling along smooth inclined planes at different inclinations or along smooth curves will be the same when the bodies have fallen through the same vertical height If lb foot and minute are the units of mass space and time find the value of the acceleration of the force of gravity and find the unit of force mass of 10 lbs hanging vertically draws another mass of 16 lbs up plane inclined at an angle of 30 to the horizon find the velocity acquired while the first mass moves through height of 20 feet Find also the tension of the string mass of 28 lbs is tied on string 21 inches long at point 1£ inch from the middle of the string and the two ends of the string are attached to two points 16 inches apart in the same horizontal line find the tensions on them and their inclinations to the horizon Find the position of the centre of gravity of triangular area and show that it coincides with the centre of gravity of three equal weights placed at the angles of the triangle uniform bent lever weighing ounces with arms feet and feet long turns on fulcrum at the bend the inclination of the arms is 120 Find the weight to be placed at the end of the shorter arm in order that this arm may be horizontal 10 What is meant by energy Distinguish between potential and actual energy If mass of 12 lbs raise mass of 80 lbs on wheel and axle where the radii of the wheel and axle are feet and inches respectively find the velocities of the masses when the larger has ascended through feet and find the acceleration