MCQ
Two particles of mass $5\, kg$ and $10\, kg$ respectively are attached to the two ends of a rigid rod of length $1\, m$ with negligible mass. The centre of mass of the system from the $5\, kg$ particle is nearly at a distance of $..........\, cm$
  • A
    $80$
  • B
    $33$
  • C
    $50$
  • $67$

Answer

Correct option: D.
$67$
d
$mr =$ constant $\Rightarrow r \propto \frac{1}{ m }$

$\frac{ r _{1}}{ r _{2}}=\frac{ m _{2}}{ m _{1}}=\frac{10}{5}=\frac{2}{1}$

$r _{1}=\frac{2}{3} r =\frac{2}{3} \times 1 m =67 cm$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Figure given shows a sinusoidal wave on a string. If the frequency of the wave is $150\, Hz$, what is the wavelength and velocity of the given wave ?
The displacement of simple harmonic oscillator after $3$ seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is $\dots \; s$
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are
An incompressible liquid flows through a horizontal tube as shown in the figure. Then, the velocity $v$ of the fluid is ......... $m/s$
In a linear simple harmonic motion $(SHM)$

$(A)$ Restoring force is directly proportional to the displacement.

$(B)$ The acceleration and displacement are opposite in direction.

$(C)$ The velocity is maximum at mean position.

$(D)$ The acceleration is minimum at extreme points.

Choose the correct answer from the options given below :

Values for latent heat in Column$-\,I$ and its values are given in Column$-\,II$. Match the followings :
Column $-\,I$ Column $-\,II$
$(a)$ Latent heat of vaporization $L_V$ $(i)$ $22.6\, \times \,{10^5}\,J\,/kg$
$(b)$ Latent heat of fusion $L_f$ $(ii)$ $33.3\, \times \,{10^5}\,J\,/kg$
    $(iii)$ $3.33\, \times \,{10^5}\,J\,/kg$
Two metal plates having charges Q, -Q face each other at some separation and are dipped into an oil tank. If the oil is pumped out, the electric field between the plates will:
A conveyor belt is moving at a constant speed of $2\, ms^{-1}$. A box is gently dropped on it. The coefficient of friction between them is $\mu  = 0.5$. The distance that the box will move relative to belt before coming to rest on it, (taking $g = 10\, ms^{-2}$) is  ........  $m$.
An electron and a proton are moving under the influence of mutual forces. In calculating the change in the kinetic energy of the system during motion, one ignores the magnetic force of one on another. This is because:
Which of the following statement is incorrect for a spherical body rolling without slipping on a rough horizontal ground at rest?