‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

A circular wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minutes does the larger wheel make in terms of x?

A

12x

B

24x

C

36x

D

48x

A circular wheel 28 inches in diameter rotates (moves) the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x?

A

12x

B

48x

C

24x

D

36x

A wheel that has 6 cogs is meshed with a wheel of 14 cogs. When the smaller wheel has made 21 revolutions the number of revelution made by the larger wheel is --

A

4

B

9

C

12

D

49

If b is the wheel track of a vehicle and h is the height of centre of gravity above road surface, then to avoid overturning and lateral skidding on a horizontal curve, the centrifugal ratio should always be

A

Less than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and greater than co-efficient of lateral friction

B

Less than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and also less than co-efficient of lateral friction

C

Greater than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and less than co-efficient of lateral friction

D

Greater than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and also greater than coefficient of lateral friction

The fundamental equation for correct steering is (where $$\varphi $$ and $$\alpha $$ = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles and d = Wheel base)

A

$$\sin \varphi + \sin \alpha = \frac{{\text{b}}}{{\text{c}}}$$

B

$$\cos \varphi - \sin \alpha = \frac{{\text{c}}}{{\text{b}}}$$

C

$$\cot \varphi - \cot \alpha = \frac{{\text{c}}}{{\text{b}}}$$

D

$$\tan \varphi + \cot \alpha = \frac{{\text{b}}}{{\text{c}}}$$

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

Two trains , X and Y, started simultaneously form opposite ends of a 100 mile route and traveled toward each other on parallel tracks. Train x , travelling at a constant rate, completed the 100 mile trip in 5 hours, Train Y, travelling at a constant rate , completed the 100 mile trip in 3 hours .How many miles had Train X traveled when it met Train Y?

A

37. 5

B

40

C

60

D

62. 5

For a shoe brake, the equivalent coefficient of friction is equal to (where $$\mu $$ = Actual coefficient of friction and $$\theta $$ = Semi-block angle)

A

$$\frac{{2\mu \sin \theta }}{{\theta + \sin \theta }}$$

B

$$\frac{{\mu \sin \theta }}{{2\theta + \sin 2\theta }}$$

C

$$\frac{{4\mu \sin \theta }}{{\theta + \sin \theta }}$$

D

$$\frac{{4\mu \sin \theta }}{{2\theta + \sin 2\theta }}$$

The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.

A

Less than

B

Greater than

C

Equal to

D

None of these

A wheel that had 6 cogs in meshed with a larger wheel if 14 cogs. When the smaller wheell had made 21 revolutions, the number wheel will be-

A

5

B

8

C

10

D

9

‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

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