Question

22.In the figure shown below, a meter stick of massMis supported in a horizontal position by two lightstrings attached at points A and B of the rod.The initial angular acceleration of the stick if oneof the strings is cut, is [Take g = 10 m/s2][NCERT Pg. 178]7AB.​

Answer 1

Answer:

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Explanation:

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Answer 2

angular acceleration : Angular acceleration is defined as the rate of change of angular velocity over time. It is usually expressed in radians per second per second. Thus,

α=dω/dt.

Angular acceleration is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit of time.

torque: Torque is a measure of force that can cause an object to rotate about an axis. A force causes an object to accelerate in linear kinematics. Similarly, torque causes angular acceleration. Torque can therefore be defined as the rotational equivalent of a linear force. The line about which the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to rotate or twist. Different terminologies such as moment or moment of force are used interchangeably to describe torque. The distance of the point of application of the force from the axis of rotation is sometimes called the moment arm or lever arm.

As per the question we need to find the angular acceleration of the stick.

given the value of g.

If one string is cut the stick will rotate about one end tied with the string. The weight of the stick provides the torque to rotate.

The torque about one end  г=mg +$\frac{L}{2}$

                                               = 10M *$\frac{1}{2}$

                                             г =5M Nm

The torque г = I*α

 5M =$\frac{M*1^{2} }{3} \alpha$

α = 15 rad/$s^{2}$

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