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A 40 kg crate is pushed across a floor by a force of 10 N at an angle of 35° above the horizontal. Determine the normal force exerted by the floor on the crate.

Respuesta :

Answer:389.26 N

Explanation:

Given

mass of crate [tex]m=40\ kg[/tex]

Force applied [tex]F=10\ N[/tex]

inclination of force [tex]\theta =35^{\circ}[/tex]

Usually Normal reaction is equal to the weight of the object but here a force is pulling crate in upward direction so effective weight is less than mg

From diagram Normal reaction is

[tex]N=mg-F\sin \theta [/tex]

[tex]N=40\times 9.8-10\sin (35)[/tex]

[tex]N=392-5.73[/tex]

[tex]N=389.26\ N[/tex]

Same Normal reaction is exerted by crate to the ground and by ground to the crate.

Ver imagen nuuk

Answer:

386.26 N

Explanation:

let N be the normal reaction on the block. F is the force, f = 10 N, which is inclined at 35° with the horizontal.

Resolve the force, F into components.

According to the diagram

As the block in the equilibrium in vertical direction so the sum of the forces along the vertical direction remains zero.

So, N + F Sinθ = mg

N = 40 x 9.8 - 10 x Sin 35°

N = 392 - 5.74

N = 386.26 N

Thus, the normal reaction force is 386.26 N.