In rotational dynamics, you determine anobiect\'s rotational motion. In linear d

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In rotational dynamics, you determine anobiect's rotational motion. In linear dynamics you learned about In linear dynamics, you had to calculate the net force to determine an object's linear motion. the net torque about an axis to must calculate t the conservation of momentum.Not surprisingly, in rotational dynamics there is conservation of angular momentum. We could go on for hundreds of pages, but luckily your textbook already does this. mass is analogous to moment of inertia in the formulas, the two have very different physical properties Unlike he moment of inertia Mass measurements are obtained using a balance ts are not as easily accomplished. Indeed it is a little more involved, but it's also mass, the or scale. Moment of inertia measurement more fun PART 1: MEASURING THE MOMENT OF INERTIA To measure the moment of inertia, we use a turntable with string wrapped around it. The string loops over a pulley and torque on the rntable, we can attaches to a hanging mass. The weight of the mass creates a tension in the string, This tension force exerts a turntable that makes it rotate. By calculating the angular acceleration of the turntable and torque on the tu alculate the moment of inertia. I-F Torque The torque exerted on an object by a force, H is equal to the lever arm distance (the distance from the axis of where the force acts) multiplied by the component of force perpendicular to the lever arm. rotation to pivot Figure 1.2-Torque is equal to the perpendicular force mulriphied by the distance from the axis of rotation When you attach a mass to the string on the turntable and release it, the force exerting the torque on the turntable is the tension in the string In this experiment, you are to adjust your apparatus so that the string makes an angle of 90 turntable and that the pulley is at the same height as the top of the turntable. /2radians with the Question 1.1 What is the formula for the torque on the turntable in terms of tension in the arm distance? Justify your answer string and the lever to lever avm

Explanation / Answer

Q1.2

Suppose X metre string is unwind then block will move X meter so it's clear that distance moved by the block is equal to the length of string unwinds in same time , making tangential acceleration of rotating point equal to linear acceleration of mass m . And we know the realtion between tangential acceleration and angular acceleration . So this makes their claim valid .

Q1.3

We know Torque = moment * angular acceleration

As string also having some mass adding it to the mass of turnable table . Moment of inertia of turnable table will be Mr^2 . This r is distance from axis of rotation and as string also have some radius( diameter/2) this r will be equal to radius of table + radius of string .

So due to diameter of string moment of table will increase

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