JEE

Conservative forces (like gravity or spring force) conserve mechanical energy and do not depend on the path taken. The work done by the conservative forces is recoverable.
Non-conservative forces (like friction or air resistance) dissipate energy as heat or sound. It depends on the path. When non-conservative forces act, mechanical energy is not conserved.

Energy is measured in joules (J). It is the capacity to do work while power is the rate of using energy or doing work. Power is measured in watts (W). One watt equals one joule per second. Power talks about how fast the work is done, and energy is about how much work is possible. 

Based on the JEE Main percentile vs rank data, a percentile of 32.702% would likely correspond to a rank in the range of around 330,500 to 500,000.

 However, the exact rank can vary depending on the overall performance of candidates in the exam and the difficulty level of the paper.

Candidates scoring good ranks must go for JEE Advanced exam. If not, then they must should focus on improving their JEE Main score to get into CCSU by taking multiple mock tests and practicing previous year's question papers. Candidates can identify their areas of proficiency and topics where they need improvement. If they can achieve full marks in their practice sessions, they can start preparing for JEE Advanced. However, if they cannot score full marks, it is recommended that they appear for multiple mock test series for more practice. 

When without slipping a body rotates and translates simultaneously is called rolling motion, such as a wheel on a road. It is the combination of rotatory and translatory motion. The point of contact has zero velocity relative to the surface in pure rolling. It is a condition in which there is no slipping or sliding during rolling.

According to the Class 11 Physics Chapter 6 System of Particles and Rotational Motion, for a rigid body to be in complete equilibrium, two conditions should be met:

• Net external torque = 0 (rotational equilibrium)
• Net external force = 0 (translational equilibrium)

The condition for equilibrium in rotational motion ensures that the body is not rotating or accelerating linearly. It is important in engineering and static structures to maintain stability like buildings or bridges.

The moment of inertia of a body about any axis to its moment of inertia about a parallel axis through the center of mass is the parallel axis theorem.
It states:
I = Ic + Mh2
Ic is the moment of inertia about the center
I is the moment of inertia of the body
h2 is the square of the distance between the two axes
M is the mass of the body