How many cases out of the following are improperly constrained? Parallel forces, concurrent forces, perpendicular forces, only moment

Which of the following statements are true/false?
1. Welfare of labour is item number 21 on the concurrent list.
2. Labour is included in the concurrent list in the seventh schedule of the Indian constitution.
3. Social Security and insurance are item number 24 on the concurrent list.4. Trade Union, industrial and labour disputes are item number 22 of the concurrent list.

A

1, 4 are true and 2, 3 are false

B

1, 3 are true and 2, 4 are false

C

2, 4 are true and 1, 3 are false

D

3, 4 are true and 2, 1 are false

In 3D the body will be improperly constrained if the axis is intersected by the reaction forces.

A

The statement is right

B

The statement is wrong

C

The statement is right if there is ‘2D’

D

The statement is right if there is ‘support reaction’

The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia and it can be used in the determination of the moment of inertia about inclined axis.

A

True

B

False

According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $$I$$P) is given by (where, A = Area of the section, $$I$$G = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)

A

$$I{\text{P}} = I{\text{G}} + {\text{A}}{{\text{h}}^2}$$

B

$$I{\text{P}} = I{\text{G}} - {\text{A}}{{\text{h}}^2}$$

C

$$I{\text{P}} = \frac{{I{\text{G}}}}{{{\text{A}}{{\text{h}}^2}}}$$

D

$$I{\text{P}} = \frac{{{\text{A}}{{\text{h}}^2}}}{{I{\text{G}}}}$$

According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $${I_{\text{P}}}$$) is given by (where, A = Area of the section, $${I_{\text{G}}}$$ = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)

A

$${I_{\text{P}}} = {I_{\text{G}}} + {\text{A}}{{\text{h}}^2}$$

B

$${I_{\text{P}}} = {I_{\text{G}}} - {\text{A}}{{\text{h}}^2}$$

C

$${I_{\text{P}}} = \frac{{{I_{\text{G}}}}}{{{\text{A}}{{\text{h}}^2}}}$$

D

$${I_{\text{P}}} = \frac{{{\text{A}}{{\text{h}}^2}}}{{{I_{\text{G}}}}}$$

When the connection between the elements forming a pair is such that the constrained motion is not completed by itself, but by some other means, the motion is said to be a completely constrained motion.

A

True

B

False

A mass m is constrained to move on a horizontal frictionless surface. It is set in circular motion with radius r₀ and angular speed ω₀ by an applied force $$\overrightarrow {\bf{F}} $$ communicated through an inextensible thread that passesthrough a hole on the surface as shown in figure given below. Then, this force is suddenly doubled.
Classical Mechanics mcq question image

The magnitude of the radial velocity of the mass

A

increases till mass falls into hole

B

decreases till mass falls into hole

C

remains constant

D

becomes zero at radius r₁, where 0 1 0

In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?

A

Z, U and W are parallel

B

X, V and U are all perpendicular to W

C

Z, V and U are all perpendicular to W

D

Y, V and W are parallel

In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?

A

Z, Y and W are parallel.

B

X, V and Y are parallel.

C

Z, V and U are all perpendicular to W.

D

Y, V and W are parallel.

Which of the following statement is not true considering a cubic lattice system? are not perpendicular to each other b) Direction is parallel to plane (hkl), when uh+vk+wl=0 c) Direction is perpendicular to the plane (hkl) when u=h, v=k, w=l d) Two planes (hkl) and (abc) are perpendicular to each other if h=a, k=b, l=c

A

The crystallographic plane (uvw) and crystallographic direction are not perpendicular to each other

B

uvw

C

uvw

D

uvw

How many cases out of the following are improperly constrained? Parallel forces, concurrent forces, perpendicular forces, only moment

Related Questions