Calendar: 1880-1881 Page 670

670 APPLIED SCIENCES In the first system of pulleys the pulleys turn on rough axes show how to find the relation between the power and weight when there are two movable pulleys neglecting the rigidity of the rope What weight will be supported by power of 10 lbs w-hen the diameter of the axis is half the diameter of the pulley and sin φ weight of 10 lbs is attached to the end of string and projected horizontally so as to describe horizontal circle feet in radius at depth of feet below the point of suspension find the tension of the string and the velocity of the mass Also find the time of revolution י When plane lamina of mass Μ rotates about an axis show that its moment of inertia about the axis is greater than its moment of inertia about parallel axis through its by quantity Mh2 where is the distance between the two axes 10 Find the moment of inertia of cylinder about one of its generating lines FIRST YEAR Compare the distance passed over in sees by two bodies one thrown vertically downwards and the other vertically upwards each with an initial velocity of 96 ft per sec To what height will the latter rise in this time and what will be its velocity Assume 32 Assuming that is represented by 32 when the units of time and space are sec and ft respectively find what number will represent when mile and one minute are taken as units If two weights Ρ and are attached to the ends of string passing over smooth pulley prove that the Ρ acceleration -ן--r and that the tension of the 2PQ