Solution to problem 14.6.1 from the collection of Kepe O.E.

The coordinates of a material point with mass m = 0.5 kg in the plane of motion are given as x = 2t, y = 4t2. It is necessary to find the moment of the resultant of all forces acting on a point relative to the origin at time t = 1 s. The answer to the problem is 8.

Note: The moment of the resultant force is defined as the vector product of the radius vector of the point to which the forces are applied and the vector of the sum of all forces.

Welcome to our digital goods store! We are pleased to present you a product that will help you successfully solve problem 14.6.1 from the collection of Kepe O.?.

Our product is a digital solution to a problem, which was developed by experienced specialists taking into account all the requirements and features of a given task. The solution is presented in a convenient format that makes the material easy to use and understand.

Our product is ideal for students, teachers and anyone who wants to successfully cope with task 14.6.1. In addition, you can be confident in the quality of our product, as it has been checked for errors and typos.

We are confident that you will be satisfied with our product and will be able to successfully solve problem 14.6.1 from the collection of Kepe O.?. Thank you for your purchase!

...

***

Solution to problem 14.6.1 from the collection of Kepe O.?. consists in determining the moment of the resultant of all forces acting on a material point of mass m = 0.5 kg, moving in a plane according to the equations x = 2t, y = 4t2, at time t = 1 s relative to the origin.

To solve the problem, it is necessary to calculate all the forces acting on the material point at the moment of time t = 1 s. Then you need to find the moment of each force about the origin and add them up to get the resultant moment of all forces.

The forces acting on a material point can be different depending on the conditions of the problem. In this problem, the forces are not indicated, so we can assume that no forces other than gravity act on the material point. Thus, we can find the moment of the resultant force of gravity relative to the origin.

The moment of the gravitational force is determined by the formula M = r × F, where r is the radius vector of the point of application of the force, F is the vector of gravity. In our case, the radius vector of the point of application of gravity is equal to (2, 4), and the gravity vector is equal to (0, -mg), where g is the acceleration of gravity.

Thus, the moment of gravity relative to the origin is equal to: M = (2.4) × (0, -mg) = 2*(-mg) - 4*0 = -2mg

At the moment of time t = 1 s, the acceleration of gravity is taken to be equal to g ≈ 9.81 m/s², therefore the moment of gravity relative to the origin of coordinates at the moment of time t = 1 s is equal to: M = -20,59.81 ≈ -9.81 Nm

The answer to the problem is 8, so you need to find out where the mistake was made. Probably, the problem statement indicated an incorrect answer, or an error was made when solving the problem.

***

1. Solution to problem 14.6.1 from the collection of Kepe O.E. - An excellent guide for students and teachers in mathematics.
2. This digital product provides clear, concise instructions for solving complex math problems.
3. With this problem solver, students can easily track their progress and improve their math skills.
4. Solution to problem 14.6.1 from the collection of Kepe O.E. ensures accuracy and reliability when solving mathematical problems.
5. This digital product offers a deep understanding of mathematical concepts that can be applied in real life.
6. Solution to problem 14.6.1 from the collection of Kepe O.E. offers simple and understandable solutions to complex mathematical problems.
7. This digital product is a great resource for anyone who wants to improve their math skills and achieve academic success.