Solution to problem 15.4.9 from the collection of Kepe O.E.

15.4.9. Solution to the problem of the motion of a right circular cone without sliding along a horizontal plane with angular velocity ? = 5 rad/s in rotational motion around the instantaneous axis of rotation. The moment of inertia of the cone relative to the axis OA is equal to 0.04 kg • m2. We need to find the kinetic energy of the cone.

Answer:

To solve the problem, we use the formula for the kinetic energy of the rotational motion of a rigid body:

K = (I * ?^2) / 2,

where K is the kinetic energy of the rotational motion of a rigid body, I is the moment of inertia of the body relative to the axis of rotation, ? - angular velocity of rotation of the body relative to this axis.

Substituting known values, we get:

K = (0.04 * 5^2) / 2 = 0.5 J

Thus, the kinetic energy of the cone is 0.5 J.

Solution to problem 15.4.9 from the collection of Kepe O.?.

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This solution provides a detailed description of the process of solving the problem of the motion of a straight circular cone without sliding along a horizontal plane with angular velocity in rotational motion around the instantaneous axis of rotation.

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This digital product is a solution to problem 15.4.9 from the collection of Kepe O.?. for students and teachers studying mechanics and physics. The problem requires finding the kinetic energy of a right circular cone that rolls without sliding along a horizontal plane with angular velocity in rotational motion around the instantaneous axis of rotation. The moment of inertia of the cone relative to the axis OA is equal to 0.04 kg • m2.

The problem is solved using the formula for


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This product is a solution to problem 15.4.9 from the collection of Kepe O.?. The problem is to determine the kinetic energy of a right circular cone that rolls without sliding along a horizontal plane with an angular velocity ? = 5 rad/s in rotational motion around the instantaneous axis of rotation. The moment of inertia of the cone relative to the axis OA is equal to 0.04 kg • m2. The answer must indicate the numerical value of the kinetic energy of the cone, which is equal to 0.5.


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