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Physics System of Particles and Rotational Motion

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6 months ago

Physics System of Particles and Rotational Motion Class 11th

What is an example of pure rotational motion?

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Syed Aquib Ur Rahman

Contributor-Level 10

An excellent example of pure rotational motion is the motion of the blades of a ceiling fan when it is switched on. In this type of motion, the object rotates about a fixed axis, and all particles of the object move in circles centred on that axis. Windmills and turbines also follow the same rotational mechanics.

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Physics System of Particles and Rotational Motion Class 11th

What is the law of rotational motion?

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Syed Aquib Ur Rahman

Contributor-Level 10

The law of rotational motion follows Newton's second law. The net external torque acting on a rigid body is directly proportional to its angular acceleration. The constant of proportionality is the moment of inertia (I). That is a measure of an object's resistance to changes in its rotational motion. This relationship is mathematically expressed as $τ = I α$

Each component of the rotational law has a direct analogue in linear motion. Torque is analogous to force (F), moment of inertia (I) is analogous to mass (m), and angular acceleration is analogous to linear acceleration (a).

All in all, you just need to remember that just as

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All in all, you just need to remember that just as force causes a change in linear motion, torque is the agent that causes a change in rotational motion.

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Physics System of Particles and Rotational Motion Class 11th

Is rotational motion a hard chapter?

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Syed Aquib Ur Rahman

Contributor-Level 10

Rotational motion in Class 11 Physics is regarded as a challenging chapter, particularly due to the transition from point particles to extended bodies. Additionally, the concepts covered here are analogous to, yet distinct from, linear motion. Even vector calculations here can be difficult. But the key to mastering this chapter is to be conceptually clear with your previous chapters in Physics. You also need to be able to visualise rotational motion instead of memorising definitions, to be able to master it.

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Physics System of Particles and Rotational Motion NEET

Is rotational motion important for NEET?

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Syed Aquib Ur Rahman

Contributor-Level 10

Yes, rotational motion is important for the NEET exam. Expect and prepare for, at least, two to three questions on rotational motion as per the latest NEET Physics syllabus for Mechanics. Questions from this chapter are clubbed into the application of principles from other areas of mechanics, such as Laws of Motion, Work, Energy, and Power, and Conservation of Momentum.

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Physics System of Particles and Rotational Motion Class 11th

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be

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Payal Gupta

Contributor-Level 10

$θ = ω_{0} t + \frac{1}{2} α t^{2}$

$5 = 0 * 1 + \frac{1}{2} * α * 1^{2}$

= 10 rad/sec²

(ln 2 seconds) = $ω_{0} t + \frac{1}{2} α t^{2}$

$θ_{2} = 20 r a d$

Angle rotated by wheel in 2^nd second

= $θ_{2} - θ$

= 20 – 5

= 15 rad

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6 months ago

Physics System of Particles and Rotational Motion System of Particles and Rotational Motion

A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at 40.0 cm mark. The mass of the metre scale is found to be x * 10^-2 kg. The value of x is _________.

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Vishal Baghel

Contributor-Level 10

$τ_{A} = 0$

2mg *30 = Mg *10

$\Rightarrow 2 * 0.01 g * 30 = M g * 10$

M = 6 * 10^-2kg

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6 months ago

Physics System of Particles and Rotational Motion Class 11th

The momentum of inertia of a uniform thin rod about a perpendicular axis passing through on end is I₁. The same rod is into a ring and its moment of inertia about a diameter is I₂. If $\frac{I_{1}}{I_{2}} i s \frac{X π^{2}}{3},$ then the value of x will be__________.

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Payal Gupta

Contributor-Level 10

According to question, we can write

$l = 2 π r \Rightarrow r = \frac{l}{2 π}$

$I_{1} = \frac{m l^{2}}{3}, a n d I_{2} = \frac{m r^{2}}{2} = \frac{m l^{2}}{8 π^{2}}$

$\Rightarrow \frac{I_{1}}{I_{2}} = \frac{m l^{2}}{3} * \frac{8 π^{2}}{m l^{2}} = \frac{8 π^{2}}{3}$

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Physics System of Particles and Rotational Motion Physics NCERT Exemplar Solutions Class 12th Chapter Seven

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the centre will be________m.

Given, the length of the rod is $10 \sqrt[]{3} m .$

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alok kumar singh

Contributor-Level 10

$k = \sqrt[]{\frac{l}{m}} = \sqrt[]{\frac{m l^{2} / 12}{m}} = \frac{l}{2 \sqrt[]{3}}$

$k = \frac{10 \sqrt[]{3}}{2 \sqrt[]{3}} = 5$

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7 months ago

Physics System of Particles and Rotational Motion Physics NCERT Exemplar Solutions Class 12th Chapter Seven

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through $O$ (the centre of mass) and $O^{'}$ (corner point) is:

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alok kumar singh

Contributor-Level 10

Sol. $m (L) = m_{1} S_{1} (Δ T)$

$\Rightarrow m (3.4 * 10^{5}) = (200) (4200) (25)$

$\Rightarrow m = 61.7$

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7 months ago

Physics System of Particles and Rotational Motion Physics NCERT Exemplar Solutions Class 12th Chapter Seven

A circular coil has moment of inertia $0.8 k g m^{2}$ around any diameter and is carrying current to produce a magnetic moment of $20 {A m}^{2}$ . The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter. When a uniform magnetic field of $4 T$ is applied along the vertical, it starts rotating around its horizontal diameter. The angular speed the coil acquires after rotating by $60^{?}$ will be:

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alok kumar singh

Contributor-Level 10

Sol. $K = \frac{(\frac{Q}{r}) Δ x}{Δ A T}$

$\begin{array}{l} \Rightarrow & \frac{({M L}^{2} T^{- 2}) (L)}{(L^{2}) (θ) (T)} \\ \Rightarrow & M^{1} L^{1 -} T^{- 3} θ^{- 1} \end{array}$

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