1. A force is applied horizontally on a uniform rod of length L kept on a surface. Calculate the tension in the rod at a distance r from the end where the force is applied. Let the mass of rod be M, and applied force is F. Acceleration produced in the rod $a=F/M$ The free … Read more

Banking of Roads: When a car moves along a curved road, it requires some centripetal force. During the turn, the wheels of the car have a tendency to leave the curved path and regain the straight line path. The frictional force between the wheels and the road opposes this tendency of the wheels. Therefore, the … Read more

Concept of force: A force is a push or pull which changes or tends to change the state of rest or of uniform motion or direction of motion of any object. The SI unit of force is Newton (N). The force with which the earth attracts a 1 kg body towards its centre is called … Read more

1. The displacement of an object is given by the following equation. $x=2t+t^{2}_{}-3t^{3}$ Calculate the velocity of the object when its acceleration is zero. We have, $x=2t+t^{2}_{}-3t^{3}$ Or, velocity $v=\frac{dx}{dt}=\frac{d}{dt}(2t+t^{2}_{}-3t^{3})$ Or, $v=2+2t-9t^{2}$\ldots \ldots \ldots \ldots \ldots (1) Acceleration, $a=$$\frac{dv}{dt}=\frac{d}{dt}(2+2t-9t^{2})$ Or, $a=2-18t$ Or, $2-18t=0$, as acceleration is zero Or, $t=2/18=1/9$ Putting this value in equation (1), … Read more

When an object moves in a circular path at a constant speed, then the motion of the object is called uniform circular motion. In a uniform circular motion, the object accelerates because of the constantly changing the direction of the velocity. Centripetal acceleration: Let us consider an object moving in a circular path of radius … Read more

Projectile motion is a type of motion in which an object called a projectile is thrown or projected. It is an example of a two-dimensional motion with constant acceleration. The projectile is thrown with some initial velocity near the earth’s surface, and it moves along a curved path under the influence of gravity. There are … Read more

A position vector describes the position of a point in a coordinate system. Figure:7.a If P is the position of an object at time t, then OP is the position vector of the object at that time. It is denoted by . Displacement vector describes the position of a point with reference to a point … Read more

Multiplying a vector with a positive number n gives a vector (= n) whose magnitude is changed by the factor n, but the direction is same as that . Also, Multiplying a vector with a negative number n gives a vector (= – n) whose direction is opposite to the direction of and its magnitude … Read more

Physical quantities are divided into two categories: Scalars quantities: They have only the magnitude. For example, mass, length, time, temperature etc. The scalars quantities can be added, subtracted, multiplied and divided just as the ordinary numbers. Vectors quantities: They have both magnitude and direction. for example velocity, force, electric field, torque etc. A vector can … Read more

For example, if an object has a certain velocity, it must be described with respect to a given reference frame. In most examples, the reference frame is Earth. Suppose a train X moving at 30 m/s along the east, then it is considered that the train X is moving relative to the surface of Earth … Read more