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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Importance and Snapshot of System Of Particles And Rotational Motion - Study ref# 710
Introduction: Any real body which we encounter in daily life has a finite size. In dealing with the motion of extended bodies (bodies of finite size) often the idealized model of a particle is inadequate. In this chapter, we shall try ...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Importance and Snapshot of System Of Particles And Rotational Motion - Study ref# 711
Following sections must be covered to understand System of Particles and Rotational Motion: 1. Introduction 2. Center of mass 3. Motion of center of mass 4. Linear momentum of a system of particles 5. Vector products of two vecto...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Target Setup for System Of Particles And Rotational Motion - Study ref# 736
Student requires to achieve the following milestones to get better grip over System Of Particle And Rotational Motion. The milestones / targets are as follows:- Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePracti...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 398
What is the total linear momentum of a system of particles? Answer: The total linear momentum of a system of particles is equal to the product of total mass of the system and velocity of centre of mass. So, ...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 399
Can centre of mass of a body coincide with the geometrical centre of the body? Answer: Yes, they can coincide only when the body has uniform mass density....
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 400
What is the angular velocity of earth spinning around its own axis? Answer: The angular velocity of earth spinning around its own axis is...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 401
The moment of inertia of a solid sphere about a tangent is . What would be its moment of inertia about its diameter? Answer: According to parallel axis theorem, ...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 402
What is the radius of gyration of a solid sphere of mass m and radius R about its diameter? Answer: For solid sphere From the definition of radius of gyration, &n...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 403
On what factors does the radius of gyration of a body depend? Answer: The radius of gyration of a body depends on i) Position and orientation of the axis of rotation ii) Distribution of mass of the body about the axis of rotatio...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 404
A child sits stationary at one end of a long trolley moving uniformly with a speed v on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the centre of mass of the (trolley + child) syst...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 405
An isolated particle of mass m is moving in a horizontal (x-y) plane along x-axis at a certain height above the ground. It explodes suddenly into two fragments of masses . An instant later, the smaller fragment is at What is the posit...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 406
A particle is moving along a straight line parallel to x-axis with constant velocity. How does the angular momentum of the particle change about the origin? Answer: Suppose a particle of mass m is moving with velocity v parallel to x-axis from B, whe...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 407
Which one has larger angular velocity between rotation of hour hand of a watch and rotation of earth about its axis? Answer: The hour hand of a watch takes 12 hr to complete one rotation i.e. And the earth takes 24 hr to rotate about its a...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 408
Find radius of gyration of a rod of length l and mass m about an axis perpendicular to its length and passing through one end. Answer: According to parallel axis theorem, Now, from the definition of radius of gyration, &nb...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 409
The moments of inertia of two rotating bodies A and B are and and their angular momentum are equal. Which one has greater kinetic energy? Answer: We know, angular momentum And kinetic energy of rotation &nb...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 410
Define radius of gyration. If moment of inertia of a solid sphere about its diameter is then find the radius of gyration about that axis. Answer: Radius of gyration: Radius of gyration of a body about a given axis is the perpendicu...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 411
i) State parallel axis theorem of moment of inertia. ii) Find the moment of inertia of a ring of mass M and radius R about the axis tangent to that ring and resides in the plane of ring. Answer: i) Parallel axis theorem: ...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 412
i) State perpendicular axis theorem of moment of inertia. ii) Find the moment of inertia of a circular disc of mass M and radius R about an axis passing through its centre and perpendicular to its plane. Given, moment o...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 413
A uniform rod of length L has moment of inertia about an axis passing through the centre of mass is . Findi) Moment of inertia of that rod about an axis passing through one end of rod.ii) The radius of gyration of that rod about the axis in 1st&...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 414
Show that, the total angular momentum of a rigid body of mass M about a given axis is equal to the product of moment of inertia of that rigid body about that axis and the angular velocity of it. Answer: Consider a rigid body of mass M is ro...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 415
Write the principle of conservation of angular momentum. Derive this conservation principle from the relation between torque and angular momentum of a rigid body. Answer: Principle of conservation of angular momentum: when no external fo...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 416
If no external torque is acting on a rigid body, angular momentum is conserved. Is the kinetic energy of rotation conserved or not? Answer: Suppose there is no external torque acting on a rigid body, then Consider But kinetic energy or rota...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 417
A thin hollow cylinder, open at both ends and weighing 5 kg (a) slides with a speed of 10m/s without rotating (b) rolls with the same speed without slipping. Compare the kinetic energies of the cylinder in two cases. Answer: Given that, m = 5 kg, v =...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 418
Three blocks of uniform thickness and masses m, m and 2m are placed at the corners of a triangle having co-ordinates and respectively. Find the co-ordinates of the centre of mass of the system. Answer: x co-ordinate of centre of mass ...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 419
The radius of a wheel of car is 0.4 m. The car is accelerated from rest by an angular acceleration of 1.5 rad/s2 for 20 sec. How much distance will the wheel cover in this time and what will be its linear velocity? Answer: Here, radius r = 0.4 m,&nbs...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 420
Show that the centre of mass of two particles of equal masses lies exactly midway between them. Answer: The centre of mass of two masses system is --------- (i)Now if the two masses are same then &n...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 421
A wheel of moment of inertia 0.5 kg m2 and radius 20 cm is rotating about its axis at an angular speed of 20 rad/s. it picks up a stationary particle of mass 200 gm at its edge. Find the new angular speed of the wheel. Answer: Here When a partic...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 422
Calculate the kinetic energy of rotation of a circular disc of mass 1 kg and radius 0.2 m rotating about an axis passing through its centre and perpendicular to its plane. The disc is completing rotations per minute. Answer: Here &nbs...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 423
A body of mass 5 kg is attached to a weightless string wound round a circular disc of mass 8 kg and radius 0.3 m. the body is allowed to fall. Calculate (i) tension in the string, (ii) acceleration with which the body falls and (iii) angular accelera...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 424
Show that the angular momentum about any point of a single particle moving with constant velocity remains constant throughout the motion. Answer: Suppose, at any time t, the particle at P is moving with velocity v. We have to calculate angu...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 425
A person carrying dumbbells in his hands are outstretched and standing on a rotating table. He rotates faster when hands are taken inwards. Explain. Answer: Here no net external torque is acting on the system consisting of the person, dumbbells and r...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 426
Can a body at translatory motion have angular momentum? Explain. Answer: Yes, a body in translatory motion shall have angular momentum. In this case, the fixed point about which angular momentum is taken will not lie on the line of motion of the body...
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NEET - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 427
Show that, torque is equal to the rate of change of angular momentum of a rigid body. Answer: From Newton’s second law, we can write F = ------- (i)Where P is linear momentum of the rigid body. The vector ...
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