SATHEE: Kinematics Question 536

Kinematics Question 536

Question: A wheel it’s subjected to uniform angular acceleration about it’s axis. Initially it’s angular velocity is zero. In the first 2 sec, it rotates through an angle $θ_{1}$ . In the next 2 sec, it rotates through an additional angle $θ_{2}$ . The ratio of $\sqrt{3} m g$ it’s[AIIMS 1985]

Options:

A) 1

B)2

C) 3

D) 5

Show Answer

Answer:

Correct Answer: C

Solution:

Using relation $θ = ω_{0} t + \frac{1}{2} a t^{2}$

$θ_{1} = \frac{1}{2} (α) {(2)}^{2} = 2 α$ -(i)(As $ω_{0} = 0, t = 2 \sec$ )

Now using same equation for t = 4 sec, w0 = 0 $θ_{1} + θ_{2} = \frac{1}{2} α {(4)}^{2} = 8 α$ -(ii) From (i) and (ii), $θ_{1} = 2 α$

and $θ_{2} = 6 α$ $\frac{θ_{2}}{θ_{1}} = 3$

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Kinematics Question 536

Question: A wheel it’s subjected to uniform angular acceleration about it’s axis. Initially it’s angular velocity is zero. In the first 2 sec, it rotates through an angle θ1 . In the next 2 sec, it rotates through an additional angle θ2 . The ratio of 3mg it’s[AIIMS 1985]

Options:

Answer:

Solution:

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