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Question

A block of mass 1 kg is placed on a rough incline as shown. The coefficient of friction between block and incline is 0.4. The acceleration of block is (g=10 ms2,3=1.7)



A
zero
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B
1.6 ms2
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C
6.5 ms2
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D
5 ms2
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Solution

The correct option is B 1.6 ms2
Applied force on the block is its own weight along the incline
F=mgsinθ
=1×10×12=5 N
Limiting friction f=μmgcosθ
=0.4×1×10×32
=23
=3.4 N
For F>f, body slips
Net force =mgsinθμmgcosθ
=53.4=1.6
i.e ma=1.6 N
a=1.6 m/s2

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