Calendar: 1870-1871 Page 532

532 APPLIED SCIENCES State and explain the meaning of the third law of motion Through what distance must force equal to the weight of lb act upon mass of 483 lbs in order to increase its velocity from 24 to 36 ft per second The last carriage of railway train gets loose while the train is running at the rate of 30 miles an hour up an incline of in 100 The friction being part of the weight find the length of time during which the carriage will continue to run up the incline the velocity with which it will be running down after the lapse of twice this interval from the time of its getting loose 10 ball moving on smooth horizontal table impinges at the same instant upon two others in all respects like it which are lying in contact find the modulus of elasticity when the impinging ball is brought to rest 11 Define simple pendulum Find the time of oscillation of simple pendulum when the arc of vibration is very small The bob of simple pendulum is displaced from the vertical through an angle of 30 and is so projected as to describe horizontal circle Find the velocity and time of revolution of the bob 12 Find the moment of inertia of cylinder about line in its surface parallel to its axis If such cylinder roll down rough plane of which the inch- nation is given under the action of gravity determine the motion of the cylinder gUroStattiS-Seat FIRST YEAR Define Specific Gravity and describe the method of deter- mining the specific gravity of solid lighter than water solid weighs 13725 grains in air 7863 in water and 6279 in solution of salt in water find the specific gravities of the solid and of the solution Find the density of mercury at 175 its density at zero being 13598 and its mean coefficient of expansion between those temperatures being 000183