17.2.16. When rolling a homogeneous cylinder of radius r = 0.2 m along a plane, it is necessary to calculate the main moment of inertia forces relative to point A. The mass of the cylinder is m = 5 kg, and the acceleration of its center of mass is a = 4 m/s². The answer to the problem is 6.
This digital product is a solution to problem 17.2.16 from the collection of Kepe O.?. in physics. The task is to calculate the main moment of inertia forces relative to point A when a homogeneous cylinder of radius r = 0.2 m rolls along a plane. The mass of the cylinder is m = 5 kg, and the acceleration of its center of mass is a = 4 m/s².
The solution to this problem is presented in a format that is easy to read and understand. All solution steps are given in detail, with explanations and formulas. The product design is made in a beautiful html format, which allows you to conveniently view and study the material on any device.
By purchasing this digital product, you receive a ready-made solution to the problem and can easily test your own solutions. It is an excellent addition to physics textbooks and textbooks, and is a useful resource for students and teachers.
This digital product is a solution to problem 17.2.16 from the collection of Kepe O.?. in physics. The task is to calculate the main moment of inertia forces relative to point A when a homogeneous cylinder of radius r = 0.2 m rolls along a plane. The mass of the cylinder is m = 5 kg, and the acceleration of its center of mass is a = 4 m/s².
The solution to this problem is presented in a format that is easy to read and understand. All solution steps are given in detail, with explanations and formulas. The product design is made in a beautiful html format, which allows you to conveniently view and study the material on any device.
By purchasing this digital product, you receive a ready-made solution to the problem and can easily test your own solutions. It is an excellent addition to physics textbooks and textbooks, and is a useful resource for students and teachers. The answer to the problem is 6.
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The product is the solution to problem 17.2.16 from the collection of Kepe O.?. The problem is to determine the main moment of inertia of a homogeneous cylinder of radius r = 0.2 m relative to point A, if the mass of the cylinder m = 5 kg and the acceleration of its center of mass a = 4 m/s2 are known.
To solve the problem, it is necessary to use the formula for the main moment of inertia I = (m * r^2) / 2, where m is the mass of the cylinder, r is the radius of the cylinder.
To find the main moment of inertia relative to point A, it is necessary to use the formula for recalculating moments of inertia Ia = Icm + md^2, where Icm is the main moment of inertia relative to the center of mass, m is the mass of the cylinder, d is the distance from the center of mass to point A.
To solve the problem, it is necessary to find the main moment of inertia relative to the center of mass using the formula Icm = (m * r^2) / 4 and the distance from the center of mass to point A.
To find the distance d, it is necessary to use the formula for the dynamics of rotational motion M = I * α, where M is the moment of force, α is the angular acceleration.
The acceleration of the center of mass a = 4 m/s2 is a linear acceleration; to obtain the angular acceleration it is necessary to use the formula α = a / r.
Thus, using all the above formulas, you can find the main moment of inertia relative to point A for this problem, which is equal to 6.
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