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.  518, 133

2.  14, 0

3.  0, 14

4.  133, 518

Subtopic:  Center of Mass |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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.

Screen Shot 2019-06-06 at 7.46.30 PM

1.  65, 65

2.  15, 65

3.  56, 56

4.  Can't be determined

Subtopic:  Center of Mass |
 71%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

If the force 7i^+3j^-5k^ acts on a particle whose position vector is i^-j^+k^, the torque of the force about the origin is?

1.  2i^+12j^+10k^

2.  0

3.  2i^-12j^-10k^

4.  2i^+12j^-10k^

Subtopic:  Torque |
 64%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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 R1 and R2 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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

 The moment of inertia of a disc about one of its diameters is: 
1. MR2
2. MR23
3. 2MR23
4. MR24

Subtopic:  Moment of Inertia |
 84%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end is:

1.  Ml2

2.  Ml22

3.  Ml23

4.  Can't be determined

 

Subtopic:  Moment of Inertia |
 88%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh