Calendar: 1887-1888 Page 679

APPLIED SCIENCES 683 and under the other Find the position of the rod when the pressure on one peg is six times that on the other ladder rests against vertical wall to which it is inclined at an angle of 45 the centre of gravity of the ladder is at of the length from the foot The coefficient of fiiction for the ladder and the ground is and for the ladder and wall If man whose weight is half the weight of the ladder ascend it find to what height he will go before the ladder begins to slip river wall of brickwork 15 feet high has rectangular section the water comes to the distance of foot from the top of the wall the thickness of the wall is feet Deter- mine the pressure on each foot of length of the wall the equation to the line of resistance and where this line cuts the base cannon-ball weighing 501bs is projected at an angle of 45 to the horizon with velocity of 320 feet per second Determine the amounts of kinetic and potential energy at starting after of the whole time of flight and after £ of the time of flight Find the moment of inertia of cylinder of given radius about generating line Hence find the time of oscillation of cylinder making small oscillations under the force of gravity about one of its generating lines Draw diagram of forces for the roof ABC with the wreight uniformly distributed and find the strains when the inclination to the horizon is 30