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A sphere of radius r is rolling without sliding. What is ratio of rotational kinetic energy and total kinetic energy associated with the sphere?
Total kinetic energy, in this case of a rolling sphere, consists of two parts: rotational kinetic energy and translational kinetic energy. Rotational kinetic energy is that caused by rotation of the sphere around its axis of rotation while the translational kinetic energy arises due to linear motionRead more
Total kinetic energy, in this case of a rolling sphere, consists of two parts: rotational kinetic energy and translational kinetic energy. Rotational kinetic energy is that caused by rotation of the sphere around its axis of rotation while the translational kinetic energy arises due to linear motion of the sphere. In rolling motion, these two forms of energy are coupled through the condition that the sphere rolls without sliding, implying there is no relative motion at the point of contact with the surface.
Rotational kinetic energy for a solid sphere is a particular fraction of total kinetic energy. For the given problem, the rotational kinetic energy: total kinetic energy ratio was 2/7. This suggests that the rotational part contributes less to the total energy as compared to the translational part. The remaining 5/7 is all taken up by the translation kinetic energy.
This concept is important in understanding how energy is distributed in rolling systems. It has practical applications in fields like mechanics, engineering, and physics education, helping to analyze the motion of rolling objects such as balls, wheels, and gears. The ratio emphasizes the importance of both rotational and translational dynamics in rolling motion.
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See lessMoment of inertia of an object does not depend upon
The moment of inertia is a property that tells us how a rotating object resists the change in angular acceleration. The theoretical background assumes mass, the distribution of this mass relative to the axis, and the selected axis itself for the three parameters. The mass and how far away from the aRead more
The moment of inertia is a property that tells us how a rotating object resists the change in angular acceleration. The theoretical background assumes mass, the distribution of this mass relative to the axis, and the selected axis itself for the three parameters. The mass and how far away from the axis it lies give an object a higher moment of inertia. For instance, a hollow ring has a greater moment of inertia than an equivalent solid disc of the same mass and radius because its mass is distributed further from the axis. However, the moment of inertia is independent of the angular velocity of the object. Angular velocity explains how fast an object is spinning, but this does not contribute to the intrinsic resistance to its rotation. It means that irrespective of whether it is spinning rapidly or slowly, the moment of inertia remains unchanged because it only depends on its physical structure and the axis about which it rotates.
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See lessThe horizontal range of a projectile is maximum when the angle of projection is:
The horizontal range of a projectile is given by R = u² Sin 2θ/g. The range is maximum when sin2θ = 1, which occurs at θ = 45°. This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understanding. For more please visit here: hRead more
The horizontal range of a projectile is given by R = u² Sin 2θ/g. The range is maximum when sin2θ = 1, which occurs at θ = 45°. This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understanding.
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What is the angle between the velocity and acceleration of a projectile at its highest point?
At the highest point of a projectile's motion, the velocity is horizontal, and the acceleration (gravity) is vertical. Hence, the angle between them is 90°. This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understanding.Read more
At the highest point of a projectile’s motion, the velocity is horizontal, and the acceleration (gravity) is vertical. Hence, the angle between them is 90°.
This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understanding.
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Which of the following is an example of motion in a plane?
Motion in a plane involves movement in two dimensions. A ball thrown horizontally and a satellite moving in a circular orbit both involve two-dimensional motion. This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understandRead more
Motion in a plane involves movement in two dimensions. A ball thrown horizontally and a satellite moving in a circular orbit both involve two-dimensional motion.
This question related to Chapter 3 physics Class 11th NCERT. From the Chapter 3. Motion in Plane. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-3/