Download App

STD 11 - 6. system of particles and rotational motion — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 6. system of particles and rotational motion4 Marks
MCQ
What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination $\theta$ ?
  • ✓
    $\frac{2}{7} \tan \theta$
  • B
    $\frac{1}{3} g \tan \theta$
  • C
    $\frac{1}{2} \tan \theta$
  • D
    $\frac{2}{5} \tan \theta$
✓

Answer

Correct option: A.
$\frac{2}{7} \tan \theta$
a
(a)

$\mu=\frac{I \tan \theta}{I+m r^2}=\frac{\frac{2}{5} m r^2 \tan \theta}{\frac{2}{5} m r^2+m r^2}$

$=\frac{2 \tan \theta}{7}$

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

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Two rods of copper and iron with the same cross-sectional area are joined at $S$ and a steady current $I$ flows through the rods as shown in the figure. Choose the most appropriate representation of charges accumulated near the junction $S$.
→
A concave mirror of radius of curvature $R$ has a circular outline of radius $r$. A circular disc is to be placed normal to the axis at the focus, so that it collects all the light that is reflected from the mirror from a beam parallel to the axis. For $r \ll R$, the area of this disc has to be at least
→
A drop of water volume $0.05\ cm^3$ is pressed between two glass-plates, as a consequence of which, it spreads between the plates. The area of contact with each plate is $40\ cm^2$ . If the surface tension of water is $70 \ dyne/cm$ , the minimum normal force required to seperate out the two glass plate in  newton is approximately...... $N$ (assuming angle of contact is zero) 
→
A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon’s orbit. The satellite completes one revolution in
→
The circuit shown has been connected for a long time. The voltage across the capacitor is ............. $V$
→
A particle executes simple harmonic motion with a frequency $f$. The frequency with which its kinetic energy oscillates is
→
Two springs of force constants $300\, N / m$ (Spring $A$) and $400$ $N / m$ (Spring $B$ ) are joined together in series. The combination is compressed by $8.75\, cm .$ The ratio of energy stored in $A$ and $B$ is $\frac{E_{A}}{E_{B}} .$ Then $\frac{E_{A}}{E_{B}}$ is equal to
→
From a circular disc of radius $R$, a square is cut out with a radius as its diagonal. The center of mass of remainder part is at a distance (from the centre)
→
A lift is going up. The total mass of the lift and the passenger is $1500\, kg$. The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at $t = 11^{th}\, sec$ will be ............ $N$
→
What type of modulation is employed in India for radio transmission
→