Solution to problem 17.3.29 from the collection of Kepe O.E.

17.3.29 Solving a physics problem

In the problem, it is necessary to determine the pressure force between cam 1 and lever 2 under given parameters. The mechanism is located in a horizontal plane.

To solve the problem, we use the formula for the moment of inertia of the lever relative to the axis of rotation:

I = m * l^2 / 3,

where m is the mass of the lever, l is its length.

We also need a formula for the moment of force acting on the lever:

M = F * l,

where F is the force acting on the lever, l is the distance from the axis of rotation to the point of application of the force.

To determine the angular acceleration of the lever, we use the formula:

ϵ = M / I.

Substituting the values ​​into the formulas, we get:

I = 6·10^-4 kg·m^2, l = 0.04 m, F = 150 N, ϵ = 5000 rad/s^2.

Then according to the formula for the moment of inertia:

m = I * 3 / l^2 = 6·10^-4 кг.

According to the formula for the moment of force:

M = F * l = 6 Н·м.

And finally, according to the formula for angular acceleration:

ϵ = M / I = 10000 rad/s^2.

Now we can determine the pressure force between the cam and the lever using the formula:

F1 = M / l = 150 Н.

Thus, the pressure force between cam 1 and lever 2 is 150 N.

Solution to problem 17.3.29 from the collection of Kepe O.?.

This digital product is a solution to problem 17.3.29 from the collection of problems in physics by Kepe O.?. The problem considers a mechanism located in a horizontal plane and requires determining the pressure force between the cam and the lever for given parameters. The solution uses the appropriate formulas and carries out the necessary calculations. By purchasing this product, you receive a ready-made solution to the problem, which can be used for educational purposes or for self-preparation for exams.

Features:

• Author: Kepe O.?.
• Russian language
• Format: PDF
• Number of pages: 3
• File size: 500 KB

Cost: 50 rubles

This digital product is a solution to problem 17.3.29 from the collection of problems in physics by Kepe O.?. The problem considers a mechanism located in a horizontal plane and requires determining the pressure force between the cam and the lever for given parameters. The solution uses the appropriate formulas and carries out the necessary calculations.

By purchasing this product, you receive a ready-made solution to the problem, which can be used for educational purposes or for self-preparation for exams. Product format - PDF, number of pages - 3, file size - 500 KB. The author of the problem is Kepe O.?. The cost of the product is 50 rubles.

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Problem 17.3.29 from the collection of Kepe O.?. refers to the section "Heat engines". Given is a heat engine operating on a Carnot cycle between a heater with temperature T1 and a refrigerator with temperature T2. It is necessary to find the efficiency of a heat engine if it is known that its power is R.

To solve the problem, it is necessary to use the formula for the efficiency of a heat engine, which is expressed in terms of the temperatures of the heater and refrigerator:

η = 1 - Т2 / Т1,

where η is the efficiency of the heat engine.

Further, using the Carnot formula for the power of a heat engine, one can express one of the temperatures in terms of the other and power:

P = η (T1 - T2) / T1,

where P is the power of the heat engine.

Thus, the solution to problem 17.3.29 consists in finding the efficiency of a heat engine using the known temperatures of the heater and refrigerator and power, and further calculating one of the temperatures using the Carnot formula for power.

Solution to problem 17.3.29 from the collection of Kepe O.?. is associated with determining the pressure force between cam 1 and lever 2. The mechanism is in a horizontal plane. The problem also specifies the following parameters: the spring develops a force F = 150 N, the angular acceleration of the lever ϵ = 5000 rad/s2, its moment of inertia relative to the axis of rotation I = 6 10-4 kg m2, l = 0.04 m.

To solve the problem, it is necessary to calculate the moment of forces acting on the lever, and then determine the pressure force between the cam and the lever using the equilibrium equation.

The moment of inertia of the lever is calculated by the formula I = ml2/3, where m is the mass of the lever, l is its length. In this problem, the mass of the lever is unknown, but instead we can use the density of the lever's material and its volume to calculate the mass.

The moment of force F acting on the spring is equal to MF = Fl, and the moment of inertia of the lever under the action of this force is equal to MF·t, where t is the time of rotation of the lever.

Angular acceleration ϵ and rotation time t are related by the relation ϵ = α/t, where α is the angular displacement of the lever.

Using these formulas, you can calculate the moment of forces acting on the lever, and then determine the pressure force between the cam and the lever using the equilibrium equation. The answer to the problem is 37.5.

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