Solution to problem 13.3.12 from the collection of Kepe O.E.

13.3.12 The mass of a material point, equal to m = 2 kg, moves in the Oxy plane. The point is acted upon by a force whose projections on the coordinate axes are equal to Fx = 2 sin 0.5?t and Fy = 5 cos?t. It is necessary to determine the acceleration modulus of a point at time t = 1 s. Answer: 2.69.

We have a material point that moves in the Oxy plane. It is acted upon by a force whose projections on the coordinate axes are equal to Fx = 2 sin 0.5?t and Fy = 5 cos?t. To determine the magnitude of acceleration, we need to use Newton's second law: F = ma, where F is force, m is mass, and a is acceleration.

We find the projections of force on the coordinate axes:

Fx = 2 sin 0,5?t Fy = 5 cos ?t

To find the force modulus F, we apply the Pythagorean theorem:

F = sqrt(Fx^2 + Fy^2)

Now we can find the acceleration of the point:

a = F / m

We substitute the values ​​and get the answer: a = 2.69.

Solution to problem 13.3.12 from the collection of Kepe O.?.

This digital product is a solution to problem 13.3.12 from the collection of problems in physics by Kepe O.?. The task is to determine the acceleration modulus of a material point for given force projections on the coordinate axes.

In our solution we use Newton's second law, the Pythagorean theorem and other physical laws. Beautiful html design makes our solution easy to read and understand.

By purchasing this digital product, you receive a ready-made solution to the problem, which can be used to prepare for exams, independently study physics, or simply to expand your knowledge in this area.

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Problem 13.3.12 from the collection of Kepe O.?. is formulated as follows:

Given a material point of mass m = 2 kg, moving in the Oxy plane. The point is acted upon by a force whose projections on the coordinate axes are equal to Fx = 2 sin 0.5ωt and Fy = 5 cos ωt, where ω is some constant. It is necessary to determine the acceleration modulus of a point at time t = 1 s.

To solve the problem, you need to express the force projections in vector form using trigonometric relationships. Then you should write down Newton's second law for a material point in vector form and calculate the acceleration modulus of the point. The solution to the problem is the number 2.69.

I hope my description will help you understand the essence of the problem and approach its solution.

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