A block of mass 260 kg is placed at rest onto 5 different inclines. The angle of

Question

A block of mass 260 kg is placed at rest onto 5 different inclines.

The angle of incline A is 20deg, B is at 20deg, C is at 20deg, D is at 13deg, and E is at 13deg.

The inclines are made of different materials, and have coefficients of friction kA = 0.3, kB = 0.4, kC = 0.5, kD = 0.2, and kE = 0.1.

For each incline, the static friction is only marginally higher than the kinetic friction. Rank the magnitude of the acceleration of the block on each incline, from smallest to largest. For ties, list answers alphabetically.

For example:

Explanation / Answer

The accelration of a body kept in an incline is given by

a= g ( sin(theta) - u cos (theta)

Hence,

A = 0.6 m/s^2

B= 0

C = 0

D = 0.3 m/s^2

E = 1.275 m/s^2

Hence

E > A > D >B=C

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