JEE Main 2019 (Online) 12th April Evening Slot | Rotational Motion Question 103 | Physics

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

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A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed $$\omega $$ about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of $$\omega $$² is equal to - JEE Main 2019 (Online) 12th April Evening Slot Physics - Rotational Motion Question 104 English

JEE Main 2019 (Online) 12th April Evening Slot Physics - Rotational Motion Question 104 English

$${{\sqrt 3 g} \over {2r}}$$

$${{2g} \over {\left( {r\sqrt 3 } \right)}}$$

$${{\left( {g\sqrt 3 } \right)} \over r}$$

$${{2g} \over r}$$

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

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A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc varies as $$\left( {{{{\sigma _0}} \over r}} \right)$$ , then the radius of gyration of the disc about its axis passing through the centre is: JEE Main 2019 (Online) 12th April Morning Slot Physics - Rotational Motion Question 107 English

JEE Main 2019 (Online) 12th April Morning Slot Physics - Rotational Motion Question 107 English

$$\sqrt {{{{a^2} + {b^2} + ab} \over 2}} $$

$$\sqrt {{{a + b} \over 3}} $$

$$\sqrt {{{{a^2} + {b^2} + ab} \over 3}} $$

$$\sqrt {{{a + b} \over 2}} $$

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

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A uniform rod of length $$\ell $$ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis, then which of the following graphs depicts it most closely?

JEE Main 2019 (Online) 12th April Morning Slot Physics - Rotational Motion Question 106 English Option 1

JEE Main 2019 (Online) 12th April Morning Slot Physics - Rotational Motion Question 106 English Option 2

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

-1

A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $$\theta $$₀. If the person stands up when the swing passes through its lowest point, the work done by him, assuming that his center of mass moves by a distance $$\ell $$($$\ell $$ << L), is close to;

mg$$\ell $$(1 + $$\theta $$₀²)

mg$$\ell $$

mg$$\ell $$(1 + $${{\theta _0^2} \over 2}$$)

mg$$\ell $$(1 - $$\theta $$₀²)

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