Calendar: 1882-1883 Page 664

APPLIED SCIENCES 661 stone is projected vertically upwards with velocity Λ of 200 ft per second after what time will it be moving with velocity of 12 ft per second and what distance will it have traversed in this time force equivalent to 60 lbs acts upon mass of matter whose weight is 10 lbs and at the same time force of 100 lbs is acting upon mass whose weight is lbs com- pare the distances traversed and the velocities acquired in sees assuming that there is no resistance ύ assuming that the masses encounter resistance equal to of their weight Compare the power necessary to be employed to raise weight of 400 lbs when three movable pulleys are arranged according to the first system with that when three movable pulleys are arranged according to the third system the weights of the pulleys being in each case 10 lbs The arms of windlass are ft long and the diameter of the axle is 10 ins What power must be exerted by man who wishes to raise bucket of water weighing 120 lbs from well If the rope attached to the bucket weighs lb per foot compare the forces which he must employ when the bucket is at the bottom and top of the well the latter being 30 ft deep Explain the meaning of the equation 1m γη pSj showing how it is obtained and stating the laws on which it is founded Apply this equation to the case of Attwood's machine on which the weights are 16 ozs and 15 ozs find the acceleration The water in canal lock rises 16 ft against the gate and the breadth of the gate is 25 ft find the pressure of water upon it cylinder in in radius and 10 in in length lies along the bottom of vessel full of water which is ft in depth find the whole pressure and the resultant pressure of the water on the cylinder