Question

С какой минимальной горизонтальной силой необходимо прижать брусок массой 5,4 кг к вертикальной стене, чтобы он не соскользнул вниз? Коэффициент трения между бруском и стенкой равен 0,18, а ускорение свободного падения равно 9,8 м/с².

Answer 1

Calculating the Minimum Horizontal Force Required

To calculate the minimum horizontal force required to prevent the block from sliding down the vertical wall, we can use the formula:

Minimum horizontal force (F) = Normal force (N) × Coefficient of friction (μ)

Where: - Normal force (N) is the force exerted by the wall on the block, which is equal to the weight of the block in this case. - Coefficient of friction (μ) is given as 0.18.

Calculating the Normal Force

The normal force (N) can be calculated using the formula:

Normal force (N) = Mass (m) × Acceleration due to gravity (g)

Given: - Mass (m) = 5.4 kg - Acceleration due to gravity (g) = 9.8 m/s²

Substituting the values: Normal force (N) = 5.4 kg × 9.8 m/s²

Calculating the Minimum Horizontal Force

Now, we can calculate the minimum horizontal force using the normal force and the coefficient of friction:

Minimum horizontal force (F) = 5.4 kg × 9.8 m/s² × 0.18

Let's calculate the minimum horizontal force.