1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass $m$ slides down an incline and reaches the bottom with a velocity V . If the same mass were in the form of a disc which rolls down this incline, the velocity of the disc at bottom would have been

A
$\mathrm{v} \sqrt{\frac{3}{4}}$
B
$\mathrm{v} \sqrt{\frac{3}{2}}$
C
$v \sqrt{\frac{1}{3}}$
D
$\mathrm{v} \sqrt{\frac{2}{3}}$
2
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The radius of gyration of a circular disc of radius R and mass m rotating about diameter as axis is

A
$\mathrm{R} \sqrt{2}$
B
$\mathrm{R} / \sqrt{2}$
C
$\mathrm{R} / 2$
D
$\mathrm{R}$
3
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A thin uniform metal rod of mass ' $M$ ' and length ' $L$ ' is swinging about a horizontal axis passing through its end. Its maximum angular velocity is ' $\omega$ '. Its centre of mass rises to a maximum height of ( $\mathrm{g}=$ Acceleration due to gravity)

A
$\frac{\mathrm{L}^2 \omega^2}{3 \mathrm{~g}}$
B
$\frac{\mathrm{L}^2 \omega^2}{2 \mathrm{~g}}$
C
$\frac{\mathrm{L}^2 \omega^2}{6 \mathrm{~g}}$
D
$\frac{\mathrm{L}^2 \omega^2}{4 \mathrm{~g}}$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Three thin rods, each of mass ' $M$ ' and length ' $L$ ' are placed along $\mathrm{X}, \mathrm{Y}$ and Z axes which are mutually perpendicular. One end of each rod is at origin. M. I. of the system about Z axis is

A
$\frac{3 \mathrm{ML}^2}{4}$
B
$\frac{2 M^2}{5}$
C
$\frac{2 \mathrm{ML}^2}{3}$
D
$\frac{3 \mathrm{ML}^2}{5}$
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