A uniform horizontal beam of length and mass is hinged to a wall at its left end

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform horizontal beam of length

4.0\,\text{m}

and mass

20\,\text{kg}

is hinged to a wall at its left end. A rope attached to the beam’s right end makes an angle of

30^{\circ}

above the beam and supports the beam. A

40\,\text{kg}

crate hangs from the right end of the beam. Assuming the beam is in static equilibrium and the rope is massless, what is the tension in the rope? (Take

g = 9.8\,\text{m/s}^2

.) (a)

1.18\times10^{3}\,\text{N}

(b)

9.8\times10^{2}\,\text{N}

(c)

5.66\times10^{2}\,\text{N}

(d)

4.90\times10^{2}\,\text{N}

Related theory

Torque
Rotational Equilibrium
Moment of force
Equilibrium of rigid bodies
Laws of Motion
Equilibrium of a rigid body

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