MCQ
A solid sphere of radius $R$ is placed on smooth horizontal surface. A horizontal force $F$ is applied at height $h$ from the lowest point. For the maximum acceleration of centre of mass, which is correct?
  • A
    $h=R$
  • no relation between $h$ and $R$
  • C
    $h=0$
  • D
    $h=2 R$

Answer

Correct option: B.
no relation between $h$ and $R$
b
Surface is smooth so there is no friction at the contact surface. then acceleration is dependent only on force applied

$a =\frac{ F }{ m }$

so there is no role of height to find out the acceleration

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

The moments of inertia of a non-uniform circular disc (of mass $M$ and radius $R$ ) about four mutually perpendicular tangents $A B, B C, C D, D A$ are $I_1, I_2, I_3$ and $I_4$, respectively (the square $A B C D$ circumscribes the circle). The distance of the centre of mass of the disc from its geometrical centre is given by
A copper rod of length $l_1$ and an iron rod of length $l_2$ are always maintained at the same common temperature $T$. If the difference $(l_2 -l_1)$ is $15\,cm$ and is independent of the value of $T,$ the $l_1$ and $l_2$ have the values (given the linear coefficient of expansion for copper and iron are $2.0 \times 10^{-6}\,C^{-1}$ and $1.0\times10^{-6}\,C^{ -1}$  respectively)
A body is uniformly rotating about an axis fixed in an inertial frame of reference. Let $\overrightarrow{\text{A}}$ be a unit vector along the axis of rotation and $\overrightarrow{\text{B}}$ be the unit vector along the resultant force on a particle P of the body away from the axis. The value of $\overrightarrow{\text{A}}.\overrightarrow{\text{B}}$ is:
  1. 1
  2. -1
  3. 0
  4. None of these.
Young's modulus of a material has the same units as
If the sum of two unit vectors is a unit vector, then magnitude of difference is
Find the angle between two vectors $\vec A = 2\hat i + \hat j - \hat k$ and $\vec B = \hat i - \hat k$ ....... $^o$
Two satellites $A$ and $B$ of masses $200\, kg$ and $400\, kg$ are revolving round the earth at height of $600\, km$ and $1600\, km$ respectively. If $T _{ A }$ and $T _{ B }$ are the time periods of $A$ and $B$ respectively then the value of $T _{ B }- T _{ A }$

[Given : radius of earth $=6400\, km$, mass of earth $=6 \times 10^{24}\, kg$ ]

If number of molecules of ${H_2}$ are double than that of ${O_2}$, then ratio of kinetic energy of hydrogen and that of oxygen at $300 \,K$ is
A body, acted upon by a force of $50 \,N$ is displaced through a distance $10$ meter in a direction making an angle of $60^°$ with the force. The work done by the force be ..........$J$
One main scale division of a vernier caliper is equal to $m$ units. If $n^{\text {th }}$ division of main scale coincides with $(n+1)^{\mathrm{ht}}$ division of vernier scale, the least count of the vernier caliper is: