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amm1812
3 years ago
13

a casting with a mass of 500 kg rests on a surface witha a slope of 20° to the horizontal. The coefficient of friction is 0,25​

Social Studies
1 answer:
EleoNora [17]3 years ago
6 0

Complete question:

A casting with a mass of 500 kg rests on a surface with a slope of 20° to the horizontal. The coefficient of friction is 0.25​.

Calculate;

(a) the component of the weight of the object perpendicular to the surface

(b) the component of the weight of the object parallel to the surface

Answer:

(a) the component of the weight of the object perpendicular to the surface is 4,604.5 N

(b) the component of the weight of the object parallel to the surface is 1,675.9 N

Explanation:

Given;

mass of the casting, m = 500 kg

angle of inclination of the casting, θ = 20⁰

the coefficient of friction, k = 0.25

(a) the component of the weight of the object perpendicular to the surface;

F⊥ = mgcosθ

F⊥ = 500 x 9.8 x cos20

F⊥ = 4,604.5 N

(b) the component of the weight of the object parallel to the surface

F|| = mgsinθ

F|| = 500 x 9.8 x sin(20)

F|| = 1,675.9 N

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