Laws Of Motion

Q: A uniform rod \$AB\$ is suspended from a point \$X\$, at a variable distance \$x\$ from \$A\$, as shown. To make the rod horizontal, a mass \$m\$ is suspended from its end \$A\$. A set of \$(m,x)\$ values is recorded. The appropriate variables that give a straight line, when plotted, are:

Let, 'l' and 'M' be the length and mass of rod.for equilibrium, taking moment about X, we get\$m \times x = M \times (\dfrac{l}{2} - x)\$this can be written as,\$m = (\dfrac{Ml}{2}) \dfrac{1}{x} - M\$comparing with straight line equation, y = mx + cwe can say that,\$m \propto \dfrac{1}{x}\$

Question

A uniform rod $A B$ is suspended from a point $X$ , at a variable distance $x$ from $A$ , as shown. To make the rod horizontal, a mass $m$ is suspended from its end $A$ . A set of $(m, x)$ values is recorded. The appropriate variables that give a straight line, when plotted, are:

Laws Of Motion

Physics 5481 Views

A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass m is suspended from its end A. A set of (m,x) values is recorded. The appropriate variables that give a straight line, when plotted, are:

Physics
5481 Views

A uniform rod $A B$ is suspended from a point $X$ , at a variable distance $x$ from $A$ , as shown. To make the rod horizontal, a mass $m$ is suspended from its end $A$ . A set of $(m, x)$ values is recorded. The appropriate variables that give a straight line, when plotted, are: