A small object of uniform density rolls up a curved surface

A small object of uniform density rolls up a curved surface with an initial velocity ‘ν’. It reaches upto a maximum height of 3v²/4g with respect to the initial position. The object is a

From law of conservation of mechanical energy

	1	Iω² + 0 +	1	mv² = mg ×	3v²
	2		2		4g

⇒	1	Iω² =	3	mv² -	1	mv²
	2		4		2

=	mv²		3	- 1
	2		2

or,	1	I	V²	=	mv²	or, I =	1	mR²
	2		R²		4		2

Hence, object is a disc.