Question 1 The ends of a light inextensible string $5$ feet long are attached to two pegs which are $4$ feet apart and in the same horizontal line. A mass of $20$ lb. is suspended from the string at a point which is $2$ feet from one peg and $3$ feet from the other. Find... Read More

Question 1 A light string $ABCD$ hangs from two fixed points $A$, $D$ which are in the same horizontal line. The string carries a weight of $10$ lb. at $B$ and weight of $W$ lb. at $C$. The angles $DAB$, $ABC$, $BCD$ are $45^\circ$, $150^\circ$, $120^\circ$, respectively. Find, graphically or otherwise, the value of $W$.... Read More

Question 1 Two pegs $A$ and $B$ are at the same height above the ground, and are $7$ feet apart. One end of an inextensible string $8$ feet in length is attached to $A$, and the other end is attached to $B$. A $28$ lb. weight is suspended from the string at a point $3$... Read More

Question 1 If the velocities of two bodies $A$ and $B$ are known, indicate by means of a diagram, or otherwise, how the velocity of $A$ relative to $B$ may be found. When a man is travelling due east at $4$ miles per hour, the wind appears to blow from the north, but when he... Read More

Question 1 $ABC$ is a triangle in which $AB=8$ cm., $BC=10$ cm., and $CA=11$ cm. Forces of $4$, $5$, $5$ lb. wt. act along the sides $AB$, $CA$, $CB$, respectively. Find the magnitude of their resultant and find how far from $C$ it cuts $CA$ and the angle it makes with $CA$. Question 2 (a)... Read More

Question 1 A liner proceeding on a course $25^\circ$ North of East appears to be moving N.E. as seen from a tug moving at $10$ knots in an easterly direction. Find the speed of the liner. How much must the tug increase its speed so that the liner will now appear to be moving due... Read More

Question 1 A body moving in a straight line travels distances $AB$, $BC$, $CD$ of $104$ ft., $264$ ft., $240$ ft. respectively in three successive intervals of $2$ secs., $6$ secs., and $8$ secs. Show that these facts are not inconsistent with the hypothesis that the body is moving with uniform retardation. On this hypothesis... Read More

Question 1 A train travelling at $44$ feet per second is brought to rest, its speed after $t$ secs. being given by the table : $t$ secs. $0$ $5$ $15$ $25$ $35$ $40$ $50$ $v$ ft./sec. $44$ $36$ $24$ $14.5$ $8$ $5$ $0$ Draw the velocity-time graph. Find, approximately, (i) how far the train travelled... Read More

Question 1 The velocities of two points $A$ and $B$ being known in magnitude and direction, explain with the aid of a diagram how to find the velocity of $B$ relative to $A$. A ship $A$ sailing north at $20$ miles per hour observes a ship $B$ $10$ miles to the north-east which is sailing... Read More

Question 1 $ABC$ is a steel rod, the portion $AB$ being straight and of length $4$ feet and the portion $BC$ being curved. The whole rod lies in one plane. The end $A$ is hinged to the floor and a load of $2$ cwt. is suspended from $C$ by a rope which is $3$ feet... Read More