A student investigates the balancing of a metre rule pivoted at the $cm50.0\text{ cm}$ mark.

An object $Q$ is placed at the $cm85.0\text{ cm}$ mark on the rule. A load of variable weight $P$ is placed on the other side of the pivot at a distance $x$ from the pivot to keep the metre rule balanced and horizontal.

The table below shows the results of the measurements:

$\text{N}$	$\text{cm}$	$1x/cm−1\frac{1}{x} / \text{cm}^{-1}$
$1.5$	$35.0$	$0.0286$
$2.0$	$26.3$	$0.0380$
$3.0$	$17.5$	$0.0571$
$4.0$	$13.1$	(i)
$5.0$	(ii)	$0.0952$

Calculate the missing values (i) and (ii) to 3 significant figures.

The maximum possible distance of the load from the pivot in this setup is $cmx_{\text{max}} = 50.0\text{ cm}$ . Calculate the value of $1xmax\frac{1}{x_{\text{max}}}$ .

The relationship between $P$ and $x$ is given by:

\left(\frac{1}{x}\right)

where $k$ is a constant. Use the data for $3.0\text{ N}$ to calculate the value of $k$ in $N⋅cm\text{N}\cdot\text{cm}$ .

Use your previous results to determine the minimum weight $P$ required to balance the metre rule in this experiment.

A student investigates the balancing of a metre rule pivoted at the $cm50.0\text{ cm}$ mark.

The table below shows the results of the measurements:

$\text{N}$	$\text{cm}$	$1x/cm−1\frac{1}{x} / \text{cm}^{-1}$
$1.5$	$35.0$	$0.0286$
$2.0$	$26.3$	$0.0380$
$3.0$	$17.5$	$0.0571$
$4.0$	$13.1$	(i)
$5.0$	(ii)	$0.0952$

Calculate the missing values (i) and (ii) to 3 significant figures.

The maximum possible distance of the load from the pivot in this setup is $cmx_{\text{max}} = 50.0\text{ cm}$ . Calculate the value of $1xmax\frac{1}{x_{\text{max}}}$ .

The relationship between $P$ and $x$ is given by:

\left(\frac{1}{x}\right)

where $k$ is a constant. Use the data for $3.0\text{ N}$ to calculate the value of $k$ in $N⋅cm\text{N}\cdot\text{cm}$ .

Use your previous results to determine the minimum weight $P$ required to balance the metre rule in this experiment.

1.5.2a Moment of a force

Question 12

Markscheme

1.5.2a Moment of a force

Question 12

Markscheme

1.5.2a Moment of a force

Question 12

1.5.2a Moment of a force Questions

1.5.2a Moment of a force

Question 12

1.5.2a Moment of a force Questions