Calendar: 1868-1869 Page 504

506 APPLIED SCIENCES be lbs and lbs and the arms inches and inches re- spectively find at what point force of lbs must be applied to the lever to keep it at rest Find the position of the centre of gravity of any plane triangle An isosceles triangle whose sides are and feet has circle inscribed in it find the position of the centre of gravity of the part remaining when the circle is cut out weight of 20 lbs is equally supported hy two forces one parallel to the plane and the other horizontal the force parallel to the plane is lbs find the other force and the pressure on the plane Explain how the velocity of moving body is measured ship sails due at the rate of knots an hour and ball is rolled at the same rate across her deck in direction 30 south of find the real motion of the ball State and illustrate the First Law of Motion Find the space described in given time when body starting from rest is acted upon by uniform force cricket ball is thrown vertically upwards with velocity of 60 feet per second how high will it rise 10 If the cricket ball were thrown with the same velocity as in the last question at an angle of 60 to the horizon where would it strike plane which is inclined at an angle of 30 to the horizon and which passes through the point of projection 11 State the Third Law of Motion Employ your statement of it to find the tension of the string and the motion when two balls are connected by string which passes over fixed pulley one of them being drawn up an inclined plane by the other which hangs over the top of the plane If the difference between the weights of the two balls is of the greater which is on the plane and the plane rise3 in find the space described in 10 seconds 12 What is meant hy the whole pressure of liquid on any surface immersed in it An isosceles triangle is placed in fluid with its base in the surface rectangle is inscribed in the triangle one side of which coincides with the base and the opposite side is of the depth