1
COMEDK 2024 Morning Shift
+1
-0

A body is moving along a circular path of radius '$$r$$' with a frequency of revolution numerically equal to the radius of the circular path. What is the acceleration of the body if radius of the path is $$\left(\frac{5}{\pi}\right) m$$ ?

A
$$100 \pi \mathrm{~ms}^{-2}$$
B
$$500 \pi \mathrm{~ms}^{-2}$$
C
$$25 \pi \mathrm{~ms}^{-2}$$
D
$$\left(\frac{500}{\pi}\right) \mathrm{ms}^{-2}$$
2
COMEDK 2023 Morning Shift
+1
-0

One end of the string of length $l$ is connected to a particle of mass $$m$$ and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed $$v$$, the net force on the particle (directed towards centre) will be ( $$T$$ represents the tension in the string)

A
$$T$$
B
$$T+\frac{m v^2}{l}$$
C
$$T-\frac{m v^2}{l}$$
D
zero
3
COMEDK 2021
+1
-0

When a car of mass $$m$$ is moving with speed $$v$$ along a circle of radius $$r$$ on a level road, the centripetal force is provided by $$f$$, where $$f$$ denotes

($$\mu_s$$ $$\to$$ coefficient of friction, N $$\to$$ normal reaction)

A
$${{m{v^2}} \over r} = f \le {\mu _s}N$$
B
$$f < {\mu _s} = {{m{v^2}} \over r}$$
C
$$f = {\mu _s}N = {{m{v^2}} \over r}$$
D
$$f = {\mu _k}N = {{m{v^2}} \over r}$$
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