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What would be the acceleration of a block sliding down an inclined plane that makes an angle of 45° with the horizontal if the coefficient of sliding friction between two surfaces in 0.3?

Given,

Angle of inclination (θ) = 45°
Coefficient of Friction (μ) = 0.3
Downward Acceleration (a) = ?
The downward force =mgSinθ
The frictional force = μR=μmgCosθ
Net downward force along the plane is,

F=mgSinθμmgCosθ=mg(Sin450.3Cos45)=mg0.495
Then acceleration a is given by,
F=ma     ⇒     a=Fm = mg0.495m = 400.495=4.95m/s2

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