Rotational MotionMedium
Question
A child′s top is spun with angular acceleration α = 4t3 - 3t2 + 2t where t is in seconds and α is in radian per second-squared. At t = 0, the top has angular velocity ω0 = 2 rad/s and a reference line on it is at angular position θ0 = 1 rad.
Statement I : Expression for angular velocity ω = (2 + t2 - t3 + t4) rad /s
Statement II : Expression for angular position θ = (1 + 2t - 3t2 + 4t3) rad
Statement I : Expression for angular velocity ω = (2 + t2 - t3 + t4) rad /s
Statement II : Expression for angular position θ = (1 + 2t - 3t2 + 4t3) rad
Options
A.Only statement-I is true
B.Only statement-II is true
C.Both of them are true
D.None of them are true
Solution
= (t4 - t3 + t2) w = 2 + t2 - t3 + t4
⇒ θ = 1 + 2t + 
Create a free account to view solution
View Solution FreeMore Rotational Motion Questions
In an experiment with a beam balance an unknown mass m is balanced by two known masses of 16kg and 4 kg as shown in figu...In the following figure r1 and r2 are 5 cm and 30 cm respectively. If the moment of inertia of the wheel is 5100 kg-m2 t...A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolution/s about a ve...Two points masses of 0.3 kg and 0.7 kg are fixed at the end of the rod of length 1.4 cm and of negligible mass. The rod ...A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The ini...