Rotational Motion Practice Questions
NEET · Physics · 1431 free MCQs with instant results and detailed explanations.
1431
Total
340
Easy
638
Medium
453
Hard
Start Practicing Rotational Motion
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Topics in Rotational Motion
Angular Momentum
282
Centre of Mass
305
Torque
228
Rolling Motion
315
Moment of Inertia
301
Sample Questions from Rotational Motion
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
What is the center of mass of a uniform rod of length L?
A.
L/2
B.
L/4
C.
L
D.
0
Show Answer & Explanation
Correct Answer: A
For a uniform rod, the center of mass is at the midpoint, which is L/2.
Q2
Easy
If two particles of masses 3 kg and 5 kg are located at distances of 2 m and 3 m respectively from a reference point, what is the position of the center of mass?
A.
2.5 m
B.
2.8 m
C.
3.0 m
D.
3.5 m
Show Answer & Explanation
Correct Answer: B
Using the formula (m1x1 + m2x2) / (m1 + m2), we find the center of mass to be 2.8 m.
Q3
Easy
In a system of three particles with masses 2 kg, 3 kg, and 5 kg, where the masses are located at coordinates (1,0), (0,2), and (3,0) respectively, where is the center of mass?
A.
(1, 1)
B.
(1.5, 0.5)
C.
(1.75, 0.75)
D.
(2, 2)
Show Answer & Explanation
Correct Answer: C
Using the center of mass formula for multiple particles, the coordinates are calculated as (1.75, 0.75).
Q4
Medium
Two particles of masses 2 kg and 3 kg are at positions 1 m and 4 m on the x-axis respectively. What is the position of their center of mass?
A.
2.4 m
B.
2.5 m
C.
3.0 m
D.
3.5 m
Show Answer & Explanation
Correct Answer: A
The center of mass is calculated using the formula x_cm = (m1*x1 + m2*x2) / (m1 + m2), resulting in 2.4 m.
Q5
Medium
A solid sphere of mass M and radius R is rolling without slipping. What is the position of its center of mass?
A.
At the center
B.
At the edge
C.
At R/2
D.
At 2R/3
Show Answer & Explanation
Correct Answer: A
For a solid sphere, the center of mass is located at its geometric center, which is at the center of the sphere.
Q6
Medium
Three point masses 1 kg, 2 kg, and 3 kg are positioned at coordinates (0,0), (1,0), and (2,0) respectively. Where is the center of mass located?
A.
(1,0)
B.
(1.5,0)
C.
(2,0)
D.
(0.5,0)
Show Answer & Explanation
Correct Answer: B
The center of mass is calculated as ((1*0 + 2*1 + 3*2) / (1+2+3), (1*0 + 2*0 + 3*0) / (1+2+3)) which gives (1.5,0).
Q7
Medium
A system consists of two particles of equal mass m located at points A and B, which are 4 m apart. What is the center of mass of the system?
A.
2 m from A
B.
2 m from B
C.
At the midpoint
D.
At a distance of 4 m from A
Show Answer & Explanation
Correct Answer: C
For two equal masses, the center of mass is always at the midpoint, which is 2 m from both A and B.
Q8
Hard
A rigid body is rotating about a fixed axis. If the center of mass of the body moves in a circular path of radius R, what is the angular momentum of the body about the center of mass when its moment of inertia is I?
A.
IĻ
B.
R^2IĻ
C.
0.5IĻ^2
D.
I/R
Show Answer & Explanation
Correct Answer: A
The angular momentum (L) about the center of mass is given by L = IĻ. This equation holds true as it directly relates moment of inertia and angular velocity.
Q9
Hard
A disc and a ring of the same mass and radius are rolling without slipping down an inclined plane. Which one reaches the bottom first?
A.
Disc
B.
Ring
C.
Both reach at the same time
D.
Depends on the angle of inclination
Show Answer & Explanation
Correct Answer: A
The disc has a smaller moment of inertia compared to the ring, which allows it to convert more gravitational potential energy into translational kinetic energy. Thus, the disc reaches the bottom first.
Q10
Hard
Two particles of masses m1 and m2 are located at the points (x1, y1) and (x2, y2) respectively. The center of mass (CM) of the system is located at (Xcm, Ycm). What is the formula for Xcm?
A.
(m1x1 + m2x2) / (m1 + m2)
B.
(x1 + x2) / 2
C.
(m1 + m2) / (x1 + x2)
D.
(m1x1 + m2y2) / (m1 + m2)
Show Answer & Explanation
Correct Answer: A
The center of mass in the x-direction is calculated using the weighted average of the positions of the masses, which is given by (m1x1 + m2x2) / (m1 + m2).
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Rotational Motion ā NEET Physics Practice Questions Online
This page contains 1431 practice MCQs for the chapter Rotational Motion in NEET Physics. The questions are organized by difficulty ā 340 easy, 638 medium, 453 hard ā so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 5 topics, giving you comprehensive coverage of the entire chapter.