Two persons are holding a rope of negligible mass horizontally. A 20 kg mass is attached to the rope at the mid-point, as a result, the rope deviates from the horizontal direction. The tension required to completely straighten the rope is (g = 10 m/s<sup>2</sup>)

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.

A

P, Q

B

Q, R

C

Q, S

D

R, S

A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25kg. What is the minimum acceleration with which the monkey can climb up along the rope? (g = 10m/s2)

A

5m/s2

B

10m/s2

C

25m/s2

D

2.5m/s2

Two persons are pulling the ends of a string in such a way that the string is stretched horizontally. When a weight of 10kg is suspended in the middle of the string the string does not remain horizontal. Can the persons make it horizontal again by pulling it with a greater force?

A

Yes

B

No

Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?

A

41

B

40

C

28

D

27

A semi-circular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi-cricular disc and horizontal surface is i. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

remain horizontal

B

slant up towards direction of pull

C

slant down towards direction of pull

D

unpredictable

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

Remain horizontal

B

Slant up towards direction of pull

C

Slant down towards direction of pull

D

None of the above

The layout of a shaft supported on bearings at A & B is shown. Power is supplied by means of a vertical belt on pulley B which is then transmitted to pulley C carrying a horizontal belt. The angle of wrap is 180’ and coefficient of friction is 0.3. Maximum permissible tension in the rope is 3kN. The radius of pulley at B & C is 300mm and 150mm. Calculate the tension in the rope of pulley C.

A

6778.3N and 7765.3N

B

5948.15N and 2288.75N

C

5468.4N ad 8678.3N

D

None of the listed

Determine the correctness or otherwise of the following Assertion (a) and Reason (r).
Assertion: During rolling, front tension and (or) back tension are (is) employed to decrease rolling load.
Reason: Roll pressure decreases due to lowering of flow stress as a result of front tension/back tension.

A

a is false but r is true

B

a is true and r is also true, but r is not the reason for a

C

a is true and r is also true, and r is the reason for a

D

a is true but r is false

Read the following statements and answer with the help of given below:
(1) Two persons are said to be related to each other by full blood when they are descended from a common ancestor by the same wife.
(2) Two persons are said to be related to each other by uterine blood when they are descended from a common ancestress but by different husbands.
(3) Two persons are said to be related to each other by half blood when they are descended from a common ancestor by the same wife.
(4) Two persons are said to be related to each other by half blood when they are descended from a common ancestor but by different wives.

A

(1) and (2) are correct, but (3) and (4) are incorrect.

B

(1), (2) and (4) are correct, but (3) is incorrect.

C

(4) and (2) are correct, but (3) and (1) are incorrect.

D

(2) and (3) are correct, but (1) and (4) are incorrect.

A man ordered a length of rope by telephone from his nearest hardware shop. But when a worker in the shop brought the rope, he found that the man on the telephone had miswritten the order by interchange feet and inches. As a result of this, the length of rope received was only 30% of the length he had ordered. The length of the rope which the man ordered was between :

A

6 ft and 7 inches

B

7$$\frac{1}{2}$$ ft and 9 ft

C

9 ft and 2 inches

D

10$$\frac{1}{2}$$ ft and 12 ft