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A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surface
- a)Angular momentum about A is mvh initially
- b)The velocity of the block decreases at time passes
- c)Torque of the forces acting on block is zero about A
- d)Angular momentum is not conserved about A
Correct answer is option 'A,B,D'. Can you explain this answer?
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A block of mass m moves on a horizontal rough surface with initial vel...
The line of motion of the block passes through the center of mass and indicates the motion of center of mass. Hence, angular momentum about A is mvh initially. Since, the block is moving on a horizontal rough surface, due to the frictional force the block will stop moving after some time. Hence, the velocity of the block decreases as time passes and due to this angular momentum is not conserved about A
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A block of mass m moves on a horizontal rough surface with initial vel...
Angular Momentum about A
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The angular momentum of an object about a point is defined as the product of its moment of inertia and its angular velocity with respect to that point. In this case, the block is moving on a horizontal rough surface, so the angular momentum of the block about point A can be calculated as mvh, where m is the mass of the block, v is its initial velocity, and h is the height of its center of mass from the surface. Therefore, the statement that the angular momentum about A is mvh initially is correct.
Velocity of the Block Decreases with Time
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As the block moves on the rough surface, it experiences frictional forces that oppose its motion. These frictional forces act in the direction opposite to the velocity of the block, causing it to slow down. Due to this deceleration, the velocity of the block decreases with time. Therefore, the statement that the velocity of the block decreases as time passes is also correct.
Torque of Forces Acting on the Block about A
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Torque is the measure of the tendency of a force to rotate an object about a specific axis or point. If the net torque acting on an object is zero, it means that the object is in rotational equilibrium. In this case, since the block is moving on a horizontal rough surface, there are frictional forces acting on it, but these forces do not produce any torque about point A. This is because the frictional forces act parallel to the surface and have a line of action that passes through point A. Therefore, the torque of the forces acting on the block about point A is zero. Hence, the statement that the torque of the forces acting on the block is zero about A is correct.
Conservation of Angular Momentum about A
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Angular momentum is said to be conserved when the net external torque acting on an object is zero. In this case, since the block is experiencing frictional forces that produce a torque, the net external torque acting on the block is not zero. Therefore, the angular momentum of the block about point A is not conserved. Hence, the statement that the angular momentum is not conserved about A is also correct.
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The angular momentum of an object about a point is defined as the product of its moment of inertia and its angular velocity with respect to that point. In this case, the block is moving on a horizontal rough surface, so the angular momentum of the block about point A can be calculated as mvh, where m is the mass of the block, v is its initial velocity, and h is the height of its center of mass from the surface. Therefore, the statement that the angular momentum about A is mvh initially is correct.
Velocity of the Block Decreases with Time
------------------------------------------
As the block moves on the rough surface, it experiences frictional forces that oppose its motion. These frictional forces act in the direction opposite to the velocity of the block, causing it to slow down. Due to this deceleration, the velocity of the block decreases with time. Therefore, the statement that the velocity of the block decreases as time passes is also correct.
Torque of Forces Acting on the Block about A
--------------------------------------------
Torque is the measure of the tendency of a force to rotate an object about a specific axis or point. If the net torque acting on an object is zero, it means that the object is in rotational equilibrium. In this case, since the block is moving on a horizontal rough surface, there are frictional forces acting on it, but these forces do not produce any torque about point A. This is because the frictional forces act parallel to the surface and have a line of action that passes through point A. Therefore, the torque of the forces acting on the block about point A is zero. Hence, the statement that the torque of the forces acting on the block is zero about A is correct.
Conservation of Angular Momentum about A
----------------------------------------
Angular momentum is said to be conserved when the net external torque acting on an object is zero. In this case, since the block is experiencing frictional forces that produce a torque, the net external torque acting on the block is not zero. Therefore, the angular momentum of the block about point A is not conserved. Hence, the statement that the angular momentum is not conserved about A is also correct.
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A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer?
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A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer?.
A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer?.
Solutions for A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice A block of mass m moves on a horizontal rough surface with initial velocity v. The height of the centre of mass of the block is h from the surface. Consider a point A on the surfacea)Angular momentum about A is mvh initiallyb)The velocity of the block decreases at time passesc)Torque of the forces acting on block is zero about Ad)Angular momentum is not conserved about ACorrect answer is option 'A,B,D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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