A 1.5m long dowel (a cylindrical rod) is pivoted about the end so that it is a pendulum of sorts - it can freely swing in a vertical plane. The dowel has a diameter of $2.0 \mathrm{~cm}$, and its density is $3.2 \mathrm{~g} / \mathrm{cm} 3$. When it is positioned in its swing such that its angle with the vertical is 22.5 degrees, what is the torque on the rod about the pivot due to its weight?
A) $1.7 \mathrm{~N} \cdot \mathrm{m}$
B) $1.0 \mathrm{~N} \cdot \mathrm{m}$
C) $4.2 \mathrm{~N} \cdot \mathrm{m}$
D) $4.4 \mathrm{~N} \cdot \mathrm{m}$
E) $1.1 \mathrm{~N} \cdot \mathrm{m}$
F) $4.1 \mathrm{~N} \cdot \mathrm{m}$

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The Answer of A 1.5m long dowel (a cylindrical rod) is pivoted about the end so that it is a pendulum of sorts - it can freely swing in a vertical plane. The dowel has a diameter of $2.0 \mathrm{~cm}$, and its density is $3.2 \mathrm{~g} / \mathrm{cm} 3$. When it is positioned in its swing such that its angle with the vertical is 22.5 degrees, what is the torque on the rod about the pivot due to its weight?
A) $1.7 \mathrm{~N} \cdot \mathrm{m}$
B) $1.0 \mathrm{~N} \cdot \mathrm{m}$
C) $4.2 \mathrm{~N} \cdot \mathrm{m}$
D) $4.4 \mathrm{~N} \cdot \mathrm{m}$
E) $1.1 \mathrm{~N} \cdot \mathrm{m}$
F) $4.1 \mathrm{~N} \cdot \mathrm{m}$

A 15m Long Dowel (A Cylindrical Rod) Is Pivoted About the the End