A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

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 instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

A

the centre of the disc

B

the point of contact

C

an infinite distance on the plane surface

D

the point on the circumference situated vertically opposite to the contact point

Choose the sentence (s) in which the word 'straight means 'honest or frank'. (1) Draw a straight line through the two points. (2) You are not being straight with me, even though you know that I like straight answers. (3) It was a straight choice between taking or leaving the offer of friendship.

A

(1)

B

(3)

C

(1) and (2)

D

1) and (3)

The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is

A

$$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$

B

$$\frac{{{\text{m}}{{\text{r}}^2}}}{4}$$

C

$$\frac{{{\text{m}}{{\text{r}}^2}}}{6}$$

D

$$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$

A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

A

n rpm

B

$$\frac{{\text{n}}}{2}$$ rpm

C

$$\frac{{\text{n}}}{4}$$ rpm

D

2n rpm

A disc is a spinning with an angular velocity $$\omega $$ rad/s about the axis of spin. The couple applied to the disc causing precession will be (where $$I$$ = Mass moment of inertia of the disc and $$\omega {\text{P}}$$ = Angular velocity of precession of the axis of spin)

A

$$\frac{1}{2}I{\omega ^2}$$

B

$$I{\omega ^2}$$

C

$$\frac{1}{2}I\omega \omega {\text{P}}$$

D

$$I\omega \omega {\text{P}}$$

If the thermal conductivity of a wall material is independent of temperature, the steady state temperature distribution in the very large thin plane wall having steady, uniform surface tempeature follows __________ law.

A

Parabolic

B

Hyperbolic

C

Linear

D

Logarithmic

If the thermal conductivity of a wall material is independent of temperature, the steady state temperature distribution in the very large thin plane wall having steady, uniform surface temperature follows __________ law.

A

Hyperbolic

B

Parabolic

C

Linear

D

Logarithmic

Plane P take off at 2:00 am and flies at a constants speed of Xmph. Plane Q takes off at 3:30 am and flies the same forte as plane p but travels at a constant X, how many hours after 3:30 am will plane Q overtake plan P?

A

1.5x/y +0.5

B

2

C

4

D

5

The linear velocity of a body rotating at $$\omega $$ rad/s along a circular path of radius r is given by

A

$$\frac{\omega }{{\text{r}}}$$

B

$$\omega {\text{r}}$$

C

$$\frac{{{\omega ^2}}}{{\text{r}}}$$

D

$${\omega ^2}{\text{r}}$$

A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

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