UP TGT Mathematics Dynamics Test Series - Part 4

If transversal acceleration f_θ = 0, then the quantity r² θ̇ is:

Type: MCQ • Marks: 1
If transversal acceleration f_θ = 0, then the quantity r² θ̇ is:
Options
A. Constant (Conservation of areal velocity)
B. Increasing linearly
C. Zero
D. Proportional to r
Explanation
f_θ = (1/r) d/dt(r² θ̇) = 0 ⇒ r² θ̇ = constant. (Note: (1/2)r² θ̇ is the areal velocity).
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