A block weighing 981 N is resting on a horizontal surface. The coefficient of friction between the block and the horizontal surface is μ = 0.2. A vertical cable attached to the block provides partial support as shown. A man can pull horizontally with a force of 100 N. What will be the tension, T (in N) in the cable if the man is just able to move the block to the right?

GATE ME 2009 Images-Q10

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ISRO Scientist ME 2012 Paper
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  1. 176.2
  2. 196.0
  3. 481.0
  4. 981.0

Answer (Detailed Solution Below)

Option 3 : 481.0
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Detailed Solution

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Concept:

GATE ME 2009 Images-Q10.1

Number of vertical forces:

∑Fy = T + RN - W = 0 

Static friction force is given as,

Fs = μRN 

Calculation:

Given:

W = 981 N, μ = 0.2, Fs = 100 N

Normal reaction:

\(\Rightarrow {R_N} = \frac{{100}}{{0.2}} = 500~N\)

Tension T

⇒ T = 981 - 500 = 481 N

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