A long uniform beam of mass rests horizontally on two vertical supports

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

6.0\,\text{m}

long uniform beam of mass

30\,\text{kg}

rests horizontally on two vertical supports. Support

A

is at the left end of the beam, and support

B

is located

1.0\,\text{m}

from the right end. A

500\,\text{N}

crate is placed

0.5\,\text{m}

from the right end of the beam. Neglecting the beam’s thickness, what upward force does support

B

exert on the beam while it remains in equilibrium? (Take

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

.) (a)

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

(b)

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

(c)

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

(d)

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