An object of uniform density rolls up the curved path with the initial velocity as shown in the figure

Question

An object of uniform density rolls up the curved path with the initial velocity $v_{0}$ as shown in the figure. If the maximum height attained by an object is $\frac{7 v_{0}^{2}}{10 g}$ ( $g =$ acceleration due to gravity), the object is a _______. [2026]

Smart Achievers · Accepted Answer

(4)

$Applying COME,$

$\Rightarrow m g (\frac{7 v_{0}^{2}}{10 g}) = (1 + \frac{K^{2}}{R^{2}}) \frac{1}{2} m v_{0}^{2}$

Solution

Q.
An object of uniform density rolls up the curved path with the initial velocity $v_{0}$ as shown in the figure. If the maximum height attained by an object is $\frac{7 v_{0}^{2}}{10 g}$ ( $g =$ acceleration due to gravity), the object is a _______. [2026]

1 solid cylinder

2 ring

3 disc

4 solid sphere

Ans.
(4)

$Applying COME,$

$\Rightarrow m g (\frac{7 v_{0}^{2}}{10 g}) = (1 + \frac{K^{2}}{R^{2}}) \frac{1}{2} m v_{0}^{2}$

Want Us to Email you About Special Offers & Updates?