Question

Неподвижный блок укреплен на углу стола. Два груза массами m1 = 0,5 кг и m2 = 2 кг соединены нитью, которая, перекинута через блок. Коэффициент трения второго груза о поверхность стола μ = 0,05. Определить силу давления F на ось блока.

Answer 1

Ускорение системы
a=g(m1-m2*μ)/(m1+m2)
натяжение нити F
m1g-F=m1a
F=m1(g-a)=m1g(1-(m1-m2*μ)/(m1+m2))=m1m2g(1+μ)/(m1+m2))
искомая сила F* = F*корень(2) = m1m2корень(2) g(1+μ)/(m1+m2))=
=0,5*2*корень(2)*10*(1+0,05)/(0,5+2) H = 5,939697 Н ~ 6H

Answer 2

Problem Setup

A stationary block is secured at the corner of a table. Two masses, m1 = 0.5 kg and m2 = 2 kg, are connected by a string passing over the block. The coefficient of friction between the second mass and the table surface is μ = 0.05. The task is to determine the force of pressure F on the axis of the block.

Solution

To solve for the force of pressure F on the axis of the block, we can use the following steps:

1. Calculate the tension in the string. 2. Determine the frictional force acting on the second mass. 3. Find the force of pressure F on the axis of the block.

Step 1: Calculate the Tension in the String

The tension in the string can be calculated using the following formula: T = m1 * g + m2 * g

Where: - T = tension in the string - m1 = mass of the first object - m2 = mass of the second object - g = acceleration due to gravity (approximately 9.81 m/s^2)

Using the given masses: m1 = 0.5 kg m2 = 2 kg

We can calculate the tension T: T = (0.5 kg * 9.81 m/s^2) + (2 kg * 9.81 m/s^2)

Step 2: Determine the Frictional Force

The frictional force acting on the second mass can be calculated using the formula: Frictional force = μ * m2 * g

Where: - μ = coefficient of friction - m2 = mass of the second object - g = acceleration due to gravity (approximately 9.81 m/s^2)

Using the given coefficient of friction: μ = 0.05

We can calculate the frictional force: Frictional force = 0.05 * 2 kg * 9.81 m/s^2

Step 3: Find the Force of Pressure

The force of pressure F on the axis of the block can be determined using the following relationship: F = T - Frictional force

Substitute the calculated values of tension and frictional force into the equation to find the force of pressure F.

Final Answer

By following these steps, the force of pressure F on the axis of the block can be determined.