1
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g = 10 m/s$$^2$$)

A
$$\frac{\pi}{2}$$
B
$$\frac{\pi}{6}$$
C
$$\frac{\pi}{4}$$
D
$$\frac{\pi}{3}$$
2
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1

A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s. Then the ratio of extension in the spring to its natural length will be :

A
1 : 2
B
2 : 3
C
2 : 5
D
1 : 1
3
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v) ?

A
B
C
D
4
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $$60 \mathrm{~m}$$, then the magnitude of displacement would be :

(Given $$\left.\cos 135^{\circ}=-0.7\right)$$

A
42 m
B
47 m
C
19 m
D
40 m
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