Daily Practice Problems System of Particles and Rotational Motion

Question 1:

Which of the following points is the likely position of the center of mass of the system shown in the figure? [Level: Moderate]

a) A

b) B

c) C

d) D

Question 2:

A rigid body is rolling without slipping on the horizontal surface, then Match Column I with Column II and choose the correct option from the codes given below. [Level: Moderate]

	Column I		Column II
A.		p.
B.		q.	Zero
C.		r.
D.		s.

Codes
A
(a)
(b)
(c)
(d)

Question 3:

A merry-go-round, made of a ring-like platform of radius and mass , is revolving with angular speed . A person of mass is standing on it. At one instant, the person jumps off the ground, radially away from the center of the round (as seen from the round). The speed of the round afterward is

[Level: Moderate]
(a)
(b)
(c)
(d) zero

Question 4:

If a horizontal cylindrical tube, partly filled with water is rapidly rotated about a vertical axis passing through its center, the moment of inertia of the water about its axis will[Level: Difficult]
(a) Decrease
(b) Increase
(c) Not change
(d) Increase or decrease depending upon clockwise or anticlockwise sense of rotation

Question 5:

Assertion The angular velocity of a rigid body in motion is defined for the whole body.

Reason All points on a rigid body performing pure rotational motion are having same angular velocity.

[Level: Difficult]

(a) Both and are true and is the correct explanation of .
(b) Both and are true but is not the correct explanation of .
(c) is true but is false.
(d) is false and is also false.

Question 6:

The given moment of inertia of a body with respect to a particular axis is 1.2kgm². At the beginning, the body is not in motion. To achieve a rotating kinetic energy of 1500joules an angular acceleration of 25radian/sec² needs to be applied about that axis for a time period of:[Level: Moderate]
(a)
(b)
(c)
(d)

Question 7:

A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass the same. Which of the following physical quantities would remain constant for the sphere?
(a) Rotational kinetic energy[Level: Moderate]
(b) Moment of inertia
(c) Angular velocity
(d) Angular momentum

Question 8:

In pure rotation, all particles of the body[Level: Easy]
(a) move in a straight line
(b) move in concentric circles
(c) move in non-concentric circles
(d) have same speed

Question 9:

A disc of radius is rotating with an angular speed about a horizontal axis. It is placed on a horizontal table. The coefficient of kinetic friction is . What was the velocity of its center of mass before being brought in contact with the table?[Level: Easy]
(a)
(b) Zero
(c)
(d)

Question 10:

When a ceiling fan is switched OFF, its angular velocity fall to half while it makes 36 rotations. How many more rotations will it make before coming to rest? (Assume uniform angular retardation)[Level: Moderate]
(a) 36
(b) 24
(c) 18
(d) 12

Question 11:

Two particles and , initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of is and the speed of is , the speed of the center of mass is,[Level: Moderate]
(a) Zero
(b)
(c)
(d)

Question 12:

In the given figure, the balancing of cardboard on the tip of a pencil is done. The point of support, is the center of gravity.[Level: Moderate]

Choose the correct option.
(a) about
(b) , about
(c) Net due to about
(d) All of the above

Question 13:

A wheel is rotating at about its axis. When the power is cut-off, it comes to rest in . The angular retardation (in ) is[Level: Easy]
(a)
(b)
(c)
(d)

Question 14:

Two discs having mass ratio and diameter ratio , then find the ratio of moment of inertia.[Level: Difficult]
(a)
(b)
(c)
(d)

Question 15:

The angular momentum of a single particle can be represented as

[Level: Easy]
(a)
(b)
(c)
(d) Both (a) and (b)

unit vector perpendicular to plane of , so that and make right-handed system)

Question 16:

A particle of mass is moving with a constant velocity along a line parallel to the +ve direction of the -axis. The magnitude of its angular momentum w.r.t the origin[Level: Moderate]
(a) Is zero
(b) Goes on increasing as is increased
(c) Goes on decreasing as is increased
(d) Remains constant for all positions of the particle

Question 17:

If the torque of the rotational motion will be zero, then the constant quantity will be[Level: Moderate]

(a) angular momentum

(b) linear momentum

(d) centripetal acceleration

Question 18:

A body having a moment of inertia about its axis of rotation equal to is rotating with angular velocity of . The kinetic energy of this rotating body is the same as that of a body of mass moving with a velocity . The value of is[Level: Difficult]
(a)
(b)
(c)
(d)

Question 19:

Two particles of equal masses have acceleration , , while the acceleration of the other particle is zero. The center of mass of the two particles moves in a path of[Level: Difficult]
(a) straight line
(b) parabola
(c) circle
(d) ellipse

Question 20:

A disc of mass and radius is rotating about one of its diameters. The value of the radius of gyration for the disc is[Level: Moderate]

(a)
(b)
(c)
(d) None of these

**********

Problem-solving on JEE Physics System of Particles and Rotational Motion NCERT Chapter 7 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Physics System of Particles and Rotational Motion you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Physics System of Particles and Rotational Motion NCERT Chapter 7, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in System of Particles and Rotational Motion JEE Physics in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer System of Particles and Rotational Motion JEE Physics Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle System of Particles and Rotational Motion. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on System of Particles and Rotational Motion JEE Physics Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE System of Particles and Rotational Motion JEE Physics is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Physics System of Particles and Rotational Motion NCERT Chapter 7

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Physics System of Particles and Rotational Motion NCERT Chapter 7 useful.

Last but not least, to get the best hold on JEE Physics System of Particles and Rotational Motion NCERT Chapter 7, do not forget to check out:

System of Particles and Rotational Motion JEE Physics Best videos
System of Particles and Rotational Motion JEE Physics NCERT Solutions
JEE Physics System of Particles and Rotational Motion Revision notes
System of Particles and Rotational Motion JEE Physics DPPs, Download PDF of solutions
JEE Physics System of Particles and Rotational Motion Online Tests
JEE Physics Sample papers