A $1.500 \mathrm{~m}$ Long Uniform Beam of Mass $30.00 \mathrm{~kg}$ Is Supported by a Wire as Shown in the Figure

Multiple Choice

A $1.500 \mathrm{~m}$ long uniform beam of mass $30.00 \mathrm{~kg}$ is supported by a wire as shown in the figure. The beam makes an angle of 10.00 degrees with the horizontal and the wire makes an angle of 30.00 degrees with the beam. A $50.00 \mathrm{~kg}$ mass, $\mathrm{m}$ , is attached to the end of the beam. What are the vertical and horizontal components of the force of the wall on the beam at the hinge?

A) $\mathrm{H}=1,458 \mathrm{~N}, \mathrm{~V}=454.0 \mathrm{~N}$
B) $\mathrm{H}=750 \mathrm{~N}, \mathrm{~V}=297.3 \mathrm{~N}$
C) $\mathrm{H}=1,300 \mathrm{~N}, \mathrm{~V}=403.4 \mathrm{~N}$
D) $\mathrm{H}=979 \mathrm{~N}, \mathrm{~V}=324.5 \mathrm{~N}$
E) $\mathrm{H}=1,179 \mathrm{~N}, \mathrm{~V}=354.9 \mathrm{~N}$