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Mayank is doing an experiment in a lab he suspended 5 Kg mass by string making angle 60° and 30° wit horizontal as show in figure. Find the tension T1 and T2? Take g = 10 m/s2

Mayank is doing an experiment in a lab he suspended 5 Kg mass by string making angle 60° and 30° wit horizontal as show in figure. Find the tension T1 and T2? Take g = 10 m/s2 Correct Answer T<sub>1</sub> = 25 N; T<sub>2</sub> = 25√3 N

CONCEPT:

  • Equilibrium: It is a state of a body in which overall change in a body is zero.
  • Translational Equilibrium: A body is said to be in translational equilibrium if the net sum of all the forces (F) acting on a body is zero.

Σ F = 0

Fnet = 0

F1 + F2 + F3+ ............... + Fn = 0

  • Rotational Equilibrium: A body is said to be in rotational equilibrium if the net sum of all the torque (τ) acting on a body is zero.

Σ τ = 0

τnet = 0 

τ1 +τ2 + τ3 + .................. + τn = 0

CALCULATION:

Given:

m = 5 Kg; g = 10 m/s2

  • First, draw the FBD of the given figure and resolve the horizontal and vertical component.

​Additional Information

  • Solving the numerical problem on the equilibrium of forces always draws the FBD (Fee Body Diagram). 
  • A simplified version of the body on which all external forces are shown is called FBD  (Fee Body Diagram) of the given body.

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