| University of Cambridge - 1804
...PROBLEMS.— Mr. WOODHODSE. Fifth and Sixth Classes. ' 1. At 3-J per cent, to find the interest of £.3. 154. **4d. for one year. 2. It is required to inscribe in....diminished by one-fourth of its present quantity.** T 4. Shew that the velocity of the Earth continually increases from the mean to the perihelion distance.... | |
| 1821 - 425 pages
...Problems. — Mr. WOODHOUSE. FIFTH AND SIXTH CLASSES. 1. At 3| per cent. to find the interest of <£3. 15*. **4d. for one year. 2. It is required to inscribe in...increases from the mean to the perihelion distance.** 6. Prove that cos. 2 a = 2 (cos. a)a - 1 (radius = 1.) 7. Find the focal length of a plano-convex lens,... | |
| Mechanical problems - 1828
...inclined plane into three parts, so that the times of descent down them may be equal. 75. Determine **the time of describing 30 feet on a plane inclined...diminished by one-fourth of its present quantity.** 76. The times of falling down the length and height of an inclined plane being in the ratio of m :... | |
| Thomas Lund - 1864 - 179 pages
...string being parallel to the plane. Find the condition of equilibrium. (16) A weight W is supported **on a plane inclined to the horizon at an angle of 30°** (one-third of a right angle), by a force P acting parallel to the plane: find the relation between... | |
| Thomas Lund - 1864 - 179 pages
...string being parallel to the plane. Find the condition of equilibrium. (16) A weight W is supported **on a plane inclined to the horizon at an angle of 30°** (one-third of a right angle), by a force P acting parallel to the plane: find the relation between... | |
| James Robert Christie - 1866 - 404 pages
...whole may be in equilibrium ? 5. A field-gun, which with its carriage weighs 24 cwt., is supported **on a plane inclined to the horizon at an angle of 30°,** by means of ropes going round on the outside of the wheels, and each hooked to a block of pulleys of... | |
| Thomas Minchin Goodeve - 1874
...without oil. = . 33 for wood on wood. = . 65 for dry masonry. Ex. I. A body just rests without support **on a plane inclined to the horizon at an angle of 30°.** What is the coefficient of friction between the body and the plane ? (Science Exam. 1871.) Ex. 2. A... | |
| John Lovell Robinson - 1888 - 348 pages
...and r- tan («'—«). Ji JK Example i. — A mass of 40 Ibs. rests in a state bordering on motion **on a plane inclined to the horizon at- an angle of 30°** ; find the coefficient of friction. We may use the theorem of Art . 26 1 , and say at once that /j.... | |
| Isaac Warren - 1889
...to sustain on it a weight of 20 Ibs. — (MR. PURSBK.) Am. P= (12 - 16/i) Ibs. 5. A weight is placed **on a plane inclined to the horizon at an angle of 30°.** If the angle of friction be 60°, compare the forces required to move the weight up and down, these... | |
| Sidney Luxton Loney - 1891
...the ratio of the base of the plane to the height and also the pressure on the plane. 6. A body rests **on a plane, inclined to the horizon at an angle of 30°,** being supported by a power inclined at 30° to the plane ; find the ratio of the weight of the body... | |
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