Q.
A uniform cube of mass M and side a is placed on a frictionless horizontal surface. A vertical
force F is applied to edge as shown in figure.
Match Column $I$ with Column $II$.
Column I
Column I
A
$\frac{Mg}{4} < F < \frac{Mg}{2}$
p
Cube will move up
B
$F > \frac{Mg}{2}$
q
Cube will not exhibit motion
C
$F > Mg$
r
Cube will begin to rotate and slip at A
D
$F = \frac{Mg}{4}$
s
Normal reaction effectively at $a/3$ from $A$ no motion
Column I | Column I | ||
---|---|---|---|
A | $\frac{Mg}{4} < F < \frac{Mg}{2}$ | p | Cube will move up |
B | $F > \frac{Mg}{2}$ | q | Cube will not exhibit motion |
C | $F > Mg$ | r | Cube will begin to rotate and slip at A |
D | $F = \frac{Mg}{4}$ | s | Normal reaction effectively at $a/3$ from $A$ no motion |
System of Particles and Rotational Motion
Solution: