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A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The threads deflection angle in the extreme position is a) 30 degree b) 60 degree c) 53 degree d) 37 degree?
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A ball suspended by a thread swings in a vertical plane so that its ac...
Suppose the amplitude of motion be θ.
Velocity at extreme positions=0So, 
centripetal acceleration=0
Only tangential acceleration g sin θ acts due to mgsinθ component of mg. In the lowest position, the object acquires velocity due to h.
Where,h=R−R cosθ
Applying energy conservation between P1 and P0, we getmgh=12mv2mg (R−Rcosθ)=12mv22g (1−cosθ)=v2R=a0where a0 is acceleration.a0=2g (1−cosθ)So, total acceleration at P0, a0=2g (1−cosθ)Total acceleration at P1 is given by,a1=g sin θBut a1=a0So, g sin θ=2g (1−cosθ)sin θ=2−2cosθ=2 [ 1−1+2 sin 2θ/2]
As, cos 2θ=1−2sin2θ2 sin θ2.cos θ2=4 sin 2θ2or cot θ2=2or θ=2 cot−1(2)=53degree.
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A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The threads deflection angle in the extreme position is a) 30 degree b) 60 degree c) 53 degree d) 37 degree?
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A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The threads deflection angle in the extreme position is a) 30 degree b) 60 degree c) 53 degree d) 37 degree? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The threads deflection angle in the extreme position is a) 30 degree b) 60 degree c) 53 degree d) 37 degree? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The threads deflection angle in the extreme position is a) 30 degree b) 60 degree c) 53 degree d) 37 degree?.
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