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

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

Problem

4.0\,\text{m}

long uniform beam of mass

30\,\text{kg}

is hinged to a wall at its left end and held horizontal by a massless cable attached

3.0\,\text{m}

from the hinge. The cable makes an angle of

45^{\circ}

above the beam. A

70\,\text{kg}

climber stands on the far right end of the beam. What is the magnitude of the horizontal force exerted by the hinge on the beam? (a)

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

(b)

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

(c)

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

(d)

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