Three particles of masses 100g, 150g, and 200g respectively are placed at the vertices of an equilateral triangle of a side 0.5 m long. What is the position of the centre of mass of three particles?

1.

2.

3.

4.

Subtopic:  Center of Mass |
78%
From NCERT
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Position of centre of mass of a triangular lamina as shown in the figure is:

 1 at the point P. 2 at the point G. 3 at the point L. 4 can't be determined.

Subtopic:  Center of Mass |
91%
From NCERT
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What is the position of centre of mass of a uniform L-shaped lamina (a thin flat plate) with dimensions as shown? The mass of the lamina is 3 kg.

1.

2.

3.

4.  Can't be determined

Subtopic:  Center of Mass |
71%
From NCERT
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If the force $7\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}-5\stackrel{^}{\mathrm{k}}$ acts on a particle whose position vector is $\stackrel{^}{\mathrm{i}}-\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$, the torque of the force about the origin is?

1.  $2\stackrel{^}{\mathrm{i}}+12\stackrel{^}{\mathrm{j}}+10\stackrel{^}{\mathrm{k}}$

2.  0

3.  $2\stackrel{^}{\mathrm{i}}-12\stackrel{^}{\mathrm{j}}-10\stackrel{^}{\mathrm{k}}$

4.  $2\stackrel{^}{\mathrm{i}}+12\stackrel{^}{\mathrm{j}}-10\stackrel{^}{\mathrm{k}}$

Subtopic:  Torque |
64%
From NCERT
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The angular momentum about any point of a single particle moving with constant velocity:

1.  increases continuously.

2.  decreases continuously.

3.  first increases then decrease.

4.  remains constant throughout the motion.

Subtopic:  Angular Momentum |
81%
From NCERT
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Moment of a couple:

 1 depends on the point about which you take the moments. 2 depends on the reference frame. 3 does not depend on the point about which you take the moments. 4 does not depend on the direction of the forces.

Subtopic:  Torque |
From NCERT
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A metal bar 70 cm long and 4.00 kg in mass supported on two knife edges placed 10 cm from each end. A 6.00 kg load is suspended at 30 cm from one end as shown in the figure. The reactions  at the knife-edges are:

(Assume the bar to be of uniform cross-section and homogeneous.)

1.  43.12 N and 54.88 N

2.  54.88 N and 4.312 N

3.  54.88 N and 43.12 N

4.  43.12 N and 5.488 N

Subtopic:  Torque |
59%
From NCERT
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A 3 m long ladder weighing 20 kg leans on a frictionless wall. Its feet rest on the floor 1 m from the wall as shown in the figure. The reaction forces of the wall and the floor respectively are:

1.  30.4 N and 198 N

2.  199 N and 30 N

3.  30 N and 199 N

4.  34.6 N and 199 N

Subtopic:  Torque |
From NCERT
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The moment of inertia of a disc about one of its diameters is:
1. ${\mathrm{MR}}^{2}$
2. $\frac{{\mathrm{MR}}^{2}}{3}$
3. $\frac{2{\mathrm{MR}}^{2}}{3}$
4. $\frac{{\mathrm{MR}}^{2}}{4}$

Subtopic:  Moment of Inertia |
84%
From NCERT
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The moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end is:

1.  ${\mathrm{Ml}}^{2}$

2.  $\frac{{\mathrm{Ml}}^{2}}{2}$

3.  $\frac{{\mathrm{Ml}}^{2}}{3}$

4.  Can't be determined

Subtopic:  Moment of Inertia |
88%
From NCERT
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