Experiment 5: Torque or Moment of a Force — Worked Examples

A downward force of $4.00\,\text{N}$ acts $0.250\,\text{m}$ to the right of a pivot. Determine the torque magnitude.

A $10.0\,\text{N}$ force acts at a point $0.300\,\text{m}$ from the pivot and makes $35.0^\circ$ with the beam. Determine the torque magnitude.

A $150\,\text{g}$ mass hangs $30.0\,\text{cm}$ left of a fulcrum. Where should a $225\,\text{g}$ mass be placed on the right to balance the beam if the beam's own weight acts through the fulcrum?

The first balance gives $m_1(30)=m_2(20)$. After adding a known $50\,\text{g}$ load to pan 1, the new balance is $(m_1+50)(18)=m_2(16)$. Determine $m_1$ and $m_2$.

A meter stick has center of gravity at the $50\,\text{cm}$ mark and is supported at $75\,\text{cm}$. A total hanging mass of $100\,\text{g}$ placed $15\,\text{cm}$ to the right of the pivot balances the stick. Determine the stick mass.

About a pivot, a $2.0\,\text{N}$ downward force acts $0.30\,\text{m}$ to the left, a $3.0\,\text{N}$ downward force acts $0.20\,\text{m}$ to the right, and a $1.0\,\text{N}$ downward force acts $0.10\,\text{m}$ to the right. Take counterclockwise as positive.

A torque calculation gives $m=151.8\,\text{g}$ while a platform balance gives $149.5\,\text{g}$. Determine percent difference relative to the measured reference mass.

A hanging load acts vertically at a point $0.300\,\text{m}$ from the pivot. If the beam is tilted $10^\circ$ above horizontal, what fraction of the horizontal-beam torque remains?