GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

A single block brake with a short shoe and torque capacity of 250 N-m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25. The value of a, in mm (round off to one decimal place), such that maximum actuating force P is 2000 N, is__________

Your Answer:

Validate

Solution:

FBD of drum

FBD of block

Taking moments about

{O}

, we get

P × 2.5 a \;\; =F_{t} × a {/} 4+R × a

2000 × 2.5 a \;\; =0.25 R × a{/} 4+R × a

On solving this, we get

R=4705.88 {N}

T=F_{t} ×

radius

=F_{t} × a=µ R × a

250=0.25 × 4705.88 × a

⇒ a=0.2125 {m}

212.5 {mm}

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