All The purpose of this experiment is to study and test the of of Angalar Moment

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All The purpose of this experiment is to study and test the of of Angalar Momentum for system motion. ere are two independent parts. Ais qualitative and Part B is quantitative Angular momentum is a property of an object moving with rotational motion that analogous to the linear momentum of an object moving with linear motion. Recall in the case of linear motion, Newton's 2nd Law. that account for the possibility that maa can be written more generally the mass of the accelerating object is not constany as: where p is the linear momentum of the object. For an object in rotational motion, Newton's 2nd Law T lacan similarly be written more generally (to account for the possibility that the moment of inertia of the accelerating object is not constant) in a manner analogous to Eqn. (1): dL Here L is the angular momentum of the object and is given (when there is no wobbling of the axis of rotation) by L where I is the moment of inertia and is the angular velocity of the object and Tnet is the net torque exerted on the object. The direction of is defined by the right hand rule discussed in your textbook) object is moving linearly and is isolated from all external forces F t" 0), we see Eqn. (1) that its linear momentum p will remain constant. This is the Law of from discussed in previous experiments. Similarly, as can Conservation of Linear Momentum be seen from Eqn. (2), if an object is in rotational motion and is isolated from external torques (i e. if Tart 0), its angular momentum L will remain constant. This is the essence of the Law of Conservation of Angular Momentum, the subject of this experiment In this experiment you will study a system consisting of more than one object. The system will be isolated from all external influences (i.e. both the net external force Feet consequer y, linear and the net external torque rset will be zero and, both momentum ptoral and angular momentum Ltotal will be conserved. We will be concerned only with conservation of angular momentum in which case, since 0, Eqn. (2) that Tnet implies Leemal constant 53

Explanation / Answer

EXPLANATION

According to law of conservation of angular momentum, if the external torque acting on a system is zero, the angular momentum of the system will not change and will be constant.

torque and angular momentum are related by, torque= dL/dt

if the net torque=0, dL/dt=0

so L= constant

also angular momentum= rotational inertia of an abject* angular velocity

L= i w

So another form of conservation of angular momentum is , iw= constant

or i1 w1= i2 w2

that means if rotational inertia of a system increases, the angular speed of that system will decrease.

One of the most common examples of conservation of angular momentum involves a skater or ballet dancer executing a spin. As the skater begins the spin, she has one leg planted on the ice, with the other stretched behind her. Likewise, her arms are outstretched, thus creating a large moment of inertia. But when she goes into the spin, she draws in her arms and leg, reducing the moment of inertia. In accordance with conservation of angular momentum, angular momentum will remain constant, and therefore, her angular velocity will increase, meaning that she will spin much faster

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