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13.Oscillations
medium
એક ઓરડાની છત પરથી $2 \,m$ લાંબી દોરી વડે $0.1 \,kg$ દળના લટકાવેલા એક ગોળાને દોલિત કરવામાં આવે છે. તેના મધ્યમાન સ્થાને ગોળાની ઝડપ $1\; m s ^{-1}$ છે. ગોળો જ્યારે $(a)$ તેનાં કોઈ એક અંત્યસ્થાને હોય $(b)$ તેના મધ્યમાન સ્થાને હોય, ત્યારે દોરીને કાપવામાં આવે તો ગોળાનો ગતિપથ કેવો હશે ?
Option A
Option B
Option C
Option D
Solution
$(a)$ Vertically downward with Parabolic path
At the extreme position, the velocity of the bob becomes zero. If the string is cut at this moment, then the bob will fall vertically on the ground.
$(b)$ At the mean position, the velocity of the bob is $1\; m/s$. The direction of this velocity is tangential to the arc formed by the oscillating bob. If the bob is cut at the mean position, then it will trace a projectile path having the horizontal component of velocity only. Hence, it will follow a parabolic path.
At the extreme position, the velocity of the bob becomes zero. If the string is cut at this moment, then the bob will fall vertically on the ground.
$(b)$ At the mean position, the velocity of the bob is $1\; m/s$. The direction of this velocity is tangential to the arc formed by the oscillating bob. If the bob is cut at the mean position, then it will trace a projectile path having the horizontal component of velocity only. Hence, it will follow a parabolic path.
Standard 11
Physics
