A 1 m long uniform beam of 2 kg mass is being lifted vertically up by a force F at the 100 cm mark. What is the minimum force required to do so?
 
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ISRO MCF Technical Assistant Mechanical 23 June 2019 Official Paper
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  1. 1 N
  2. 2 N
  3. 10 N
  4. 20 N

Answer (Detailed Solution Below)

Option 3 : 10 N
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Detailed Solution

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Concept:

Conditions for the system to be in equlibrium

ΣFx = 0, ΣFy = 0, ΣM = 0

Calculation:

Given:

m = 2 kg, Assume g = 10 m / s2

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Lager will be the moment, smaller will be the force required to lift the rod. Hence, Applying Moment about 0 cm point we get.

w × 50 = F × 100

m × g × 50 = F × 100

2 × 10 × 50 = F × 100

F = 10 N

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