Daily Practice Problems System of Particles and Rotational Motion

Question 1.

Find the scalar and vector products of two vectors, a = 2i + j + 3k and b = -i + 2j + 5k .

Question 2.

Find the torque of a force i + 2j + k about the origin. The force acts on a particle whose position vector is 3i + j + 2k .

Question 3.

How do you define ‘radius of gyration’?

Question 4.

What is theorem of perpendicular axes?

Question 5.

Give statement for theorem of parallel axes.

Question 6.

The angular speed of a motor wheel is increased from 800 rpm to 3200 rpm in 24 seconds. (i) What is its angular acceleration, assuming the acceleration to be uniform? (ii) How many revolutions does the engine make during this time?

Question 7.

What is the kinetic energy of a rolling body?

Question 8.

How do you define the moment of inertia of a rigid body?

Question 9.

When will you say that a rigid body is in mechanical equilibrium?

Question 10.

Give the relation between the linear momentum of the system and the velocity of centre of mass of a system.

Question 11.

Is angular velocity a scalar or vector?

Question 12.

A metal bar 90 cm long and 5.00 kg in mass supported on two knife-edges placed 15 cm from each end. A 3.00 kg load is suspended at 36 cm from one end. Find the reactions at the knife-edges. (Assume the bar to be of uniform cross section and homogeneous.)

Question 13.

A car weighs 2000 kg. The distance between its front and back axles is 2.0 m. Its centre of gravity is 1.1 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.

Question 14.

A solid cylinder of mass 30 kg rotates about its axis with angular speed 90 rad s^-1. The radius of the cylinder is 0.30 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Question 15.

A rope of negligible mass is wound round a hollow cylinder of mass 5 kg and radius 50 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 100 N? What is the linear acceleration of the rope? Assume that there is no slipping.

Question 16.

A hoop of radius 4 m weighs 200 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 30 cm/s. How much work has to be done to stop it?

Question 17.

A solid cylinder rolls up an inclined plane of angle of inclination 45°. At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 3 m/s.

(a) How far will the cylinder go up the plane?

(b) How long will it take to return to the bottom?

Question 18.

Give an expression for the conservation of the total linear momentum of the system of particles.

Question 19.

Define angular acceleration.

Question 20.

Give Moment of inertia for the following shapes:

Circular disc about perpendicular to it at centre.
Thin circular ring about its diameter.
Solid sphere about its diameter.

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All About Daily Practice Problems on Class 11 Physics System of Particles and Rotational Motion NCERT Chapter 6

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 Class 11 Physics System of Particles and Rotational Motion NCERT Chapter 6 useful.

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