Rotational Dynamics — Flashcards
Maharashtra Board · Class 12 · Physics
25 flashcards for Rotational Dynamics (Maharashtra Board Class 12 Physics) to test yourself on key terms and facts.
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Define circular motion and distinguish between revolution and rotation.
Answer
Circular motion is the motion of an object along a circular path. Revolution: The object (or every particle in the object) undergoes circular motion about some point outside the object or about anothe…
State the relationship between linear velocity (v), angular velocity (ω), and radius (r) in circular motion.
Answer
v = ωr (magnitude) v⃗ = ω⃗ × r⃗ (vector form) Where: v = tangential velocity, ω = angular velocity, r = radius Direction of ω is given by right-hand thumb rule along the axis of rotation.
What is centripetal acceleration? Derive its expression for uniform circular motion.
Answer
Centripetal acceleration is the acceleration directed towards the center of circular motion, responsible for changing the direction of velocity. Derivation: For UCM, speed is constant but direction c…
Distinguish between centripetal force and centrifugal force.
Answer
Centripetal Force (CPF): Real force directed towards center, required for circular motion. CPF = mω²r = mv²/r Centrifugal Force (CFF): Pseudo force directed away from center, experienced in rotating …
A car takes a horizontal circular turn of radius 50 m at maximum speed 20 m/s. Find the coefficient of friction between tires and road.
Answer
Given: r = 50 m, vmax = 20 m/s, g = 10 m/s² Find: μs (coefficient of static friction) Formula: For horizontal circular motion, friction provides centripetal force fs,max = μsN = μsmg = mv²max/r Solu…
Derive the minimum speed for a vehicle in a 'well of death' of radius r with coefficient of friction μs.
Answer
In well of death, vehicle moves in horizontal circles on vertical cylindrical wall. Forces: N (horizontal, towards center), mg (downward), fs (upward) For circular motion: N = mv²/r For vertical equ…
What is banking of roads? Derive the expression for the banking angle θ for safe speed v.
Answer
Banking: Tilting of curved road surfaces at angle θ with horizontal to reduce dependence on friction. Forces on banked road: mg (downward), N (perpendicular to road surface) For equilibrium: Vertica…
Define conical pendulum and derive the expression for its time period.
Answer
Conical Pendulum: A pendulum whose bob moves in horizontal circle while string traces a cone. Forces: mg (downward), T (along string) At angle θ with vertical: Vertical equilibrium: T cos θ = mg Hor…
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