085-1263404
23 Oct 2018
Question 1 $A$ and $B$ are the ends of a uniform bar which is $8$ inches in length and which weighs $5$ lb. The bar is supported by two strings $AC$ and $BC$ attached to a fixed peg $C$. If $AC=5$ inches and $BC=4$ inches, find the tensions in the strings. What weight attached at...
22 Oct 2018
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...
19 Oct 2018
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 $W$....
18 Oct 2018
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 $3$...
17 Oct 2018
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...
16 Oct 2018
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)...
5 Oct 2018
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...
4 Oct 2018
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...
3 Oct 2018
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...
2 Oct 2018
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...