Calendar: 1860-1861 Page 489

490 APPLIED SCIENCES IV -Sgnamtii Explain the method of estimating moving force whose intensity varies at every instant Define the moment of inertia of body and show how to find it in any case Take the following examples circle about tangent sphere about diameter cone about its axis square about diagonal Distinguish between simple and compound pendulum Describe and explain Kater's experiment for ascertaining the length of seconds pendulum and prove the law upon which lie proceeded Find the time of small oscillation of circle about tangent line How would the time change if the axis were twisted so as to become to the plane of the circle sphere revolves about tangent which is horizontal and just makes complete revolution find the greatest pressure upon the axis Define the Vis Viva of body State the principle of Vis Viva How does it help us to ascertain the amount of work stored up in revolving body Prove that the whole Vis Viva of body is the Vis Viva due to translation the Vis Viva due to rotation Find the time in which sphere will roll down given in- clined plane rod suspended at one end revolves so as to describe conical surface with an angular velocity Find its inclina- tion to the vertical How would the result be altered if given sphere were placed at the end of the rod 10 Determine the ratio of the weights of two perfectly elastic balls and so that may lose one-fourth of its velocity by striking Β at rest