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.
We present to your attention a digital product - the solution to problem 15.4.9 from the collection of Kepe O.?. This product is intended for students and teachers who study mechanics and physics.
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.
This solution will be useful for those who want to deepen their knowledge in the field of mechanics and physics, as well as for those who are preparing for exams or olympiads in these subjects.
The design of this digital product is made in a beautiful html format, which makes it attractive and easy to read.
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
***
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.
***
Solution of problem 15.4.9 from the collection of Kepe O.E. - This is a great digital product for students and schoolchildren who study mathematics.
I am very pleased with the solution of problem 15.4.9 from the collection of Kepe O.E. It helped me understand the material better.
I strongly recommend the solution of problem 15.4.9 from the collection of Kepe O.E. is a great way to improve your knowledge in mathematics.
By solving problem 15.4.9 from the collection of Kepe O.E. I was able to quickly and easily understand difficult material.
Solution of problem 15.4.9 from the collection of Kepe O.E. is a great digital product that helps you prepare for exams.
Many thanks to the author for solving problem 15.4.9 from O.E. Kepe's collection. - it was very helpful for my learning purposes.
I am very pleased with the quality of the solution of problem 15.4.9 from the collection of Kepe O.E. - it helped me to better understand the material and improve my knowledge in mathematics.