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Standard XII

Physics

Newton's Second Law: Rotatory Version

Two identical...

Question

Two identical bricks of length $L$ are piled one on top of the other on a table as shown in the figure. The maximum distance $S$ the top brick can overhang the table with the system still balanced is :

\frac{1}{2} L

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\frac{2}{3} L

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\frac{3}{4} L

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\frac{7}{8} L

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Solution

The correct option is C $\frac{3}{4} L$
The center of mass of the set of bricks must be above or to the left of the point of support for the system of be balanced.
The center of mass of the upper brick needs to be above the right end of lower brick. The center of upper brick is at a distance of $L / 2$ from its right end.
The distance center of mass of both the books from the right edge of upper brick $= \frac{(m L / 2) + (m L)}{2 m} = \frac{3 L}{4} = S$ .

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A physicist is investigating the effect that different conditions have on the force of friction. The material used is an ordinary brick, with a mass of 1.8 kg. It is pulled across the surface of a wooden table. Friction is measured by pulling the brick with a string attached to a spring scale, calibrated in newtons (N). When the brick is pulled at constant speed, the reading on the scale is equal to the force of friction between the brick and the table top.
Experiment 1 : The brick is placed on the table in three different positions. First, it is allowed to rest on its broad face (area $= 180 c m^{2}$ ), then on its side (area $= 130 c m^{2}$ ), and finally on its end (area $= 56 c m^{2}$ )
Table 1
$\begin{matrix} A r e a (c m^{2}) & 180 & 130 & 56 F r i c t i o n (N) & 7.1 & 7.3 & 7.2 \end{matrix}$

Experiment 2: A wooden block of mass 0.6 kg is made to the same dimensions as the brick, and the experiment is repeated.
Table 2
$\begin{matrix} A r e a (c m^{2}) & 180 & 130 & 56 F r i c t i o n (N) & 1.2 & 1.1 & 1.2 \end{matrix}$

Experiment 3: The time, the wooden block is loaded by adding 1.2 kg of extra mass on top of it, to give it the same weight as the brick.
Table 3
$\begin{matrix} A r e a (c m^{2}) & 180 & 130 & 56 F r i c t i o n (N) & 3.5 & 3.6 & 3.7 \end{matrix}$
Which combination of experiments shows that the amount of friction depends on the weight of the object?

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Two identical bricks of length L are piled one on top of the other on a table as shown in the figure. The maximum distance S the top brick can overhang the table with the system still balanced is :

Two identical bricks of length $L$ are piled one on top of the other on a table as shown in the figure. The maximum distance $S$ the top brick can overhang the table with the system still balanced is :