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A block with a weight of 36 N is placed on a sheet of aluminum with an inclination of 18°. The coefficients of static and kinetic friction between the block and aluminum are 0.35 and 0.23, respectively. Will the block slide down the plane?No. The downward force along the plane is 11 N and the maximum static friction force is 12 N.

No. The downward force along the plane is 11 N and the maximum static friction force is 12 N.
Yes. The downward force along the plane is 34 N and the maximum static friction force is 2.6 N.
No. The downward force along the plane is 3.9 N and the maximum static friction force is 34 N.
Yes. The downward force along the plane is 11 N and the maximum static friction force is 7.9 N.

A block with a weight of 36 N is placed on a sheet of aluminum with an inclination of 18 The coefficients of static and kinetic friction between the block and a class=

Respuesta :

No, the downward force along the plane is 11 N and the maximum static friction force is 12 N.

The normal force on the block is calculated as follows;

Fₙ = Wcosθ

Fₙ = 36 x cos(18)

Fₙ = 34.24 N

The minimum force required to move the block is calculated as;

[tex]F_s = u_s \times F_n\\\\F_s = 0.35 \times 34.24\\\\F_s = 12 \ N[/tex]

The parallel force on the block along the plane is calculated as;

[tex]F = W sin(\theta) \\\\F = (36 \times sin(18))\\\\F = 11 \ N[/tex]

Thus, we can conclude that the block will not slide since the parallel force along the plane is less than the maximum static friction.

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