Resolution of a vector into its components is the process to determining a set of vectors, whose resultant is the given vector. Each vector in that set is called a component of the given vector. Prove: Let us consider (= ) is resolute along the line OA and OB creates angles and with OC respectively. […]
Explore MoreVector addition and subtraction problems can be solved by triangle and parallelogram law. Triangle law of vector addition: Statement: If two vectors are represented both in magnitude and direction by two sides of a triangle taken in the same order, then the resultant of these vectors is represented both in magnitude and direction by the […]
Explore MoreVector can be classified in various types. Such types are given below. 1. Polar vectors: The vector which has an initial point or a point of application is known as polar vector. Example: displacement, force etc. Axial vector: The vector which represents the rotational effect and act along the axis of rotation in accordance with […]
Explore MoreBending of a cycle: When a cyclist moves on a curved road of radius r with sped v, he bends slightly at angle θ from his vertical position towards the inner side of the curve. m is the combined mass of the cycle and cyclist. The reaction force (R) offered by the road makes angle […]
Explore More4. A liquid is kept in a cylindrical vessel of radius r which is rotated about its axis with angular speed . Find the difference in the height of the liquid at the centre of the vessel and its side. We consider a point mass m at point P (x, y) on the surface of […]
Explore More1. A conical funnel rotates about its own axis with angular speed . A particle remain stationary on the inner surface of the funnel and it describes a horizontal circular motion of radius r as shown in figure. The coefficient of friction between particle and inner surface of the funnel is . What is the […]
Explore MoreCircular motion of a body in vertical plane: A body of mass m is moving in a circular path of radius r in a vertical plane using an inextensible massless string. The velocity of the body at highest point (point P) is v1 and velocity at lowest point (point Q) of its motion is v2. […]
Explore MoreThe basic information of angular displacement, angular velocity and angular acceleration is given in Free Course-Class IX-Motion. To get this click the button. Click here Unit vectors along the radius and tangent: Let us consider OX and OY are two mutual perpendicular axes and O is the origin. A particle is moving in a circular […]
Explore MoreFriction due to relative velocity: A block A of mass M is placed on horizontal table. Another block B of mass m is places on block A as shown in figure. Now v1 and v2 (v1 < v2) are the velocities of A and B respectively. The conditions are explained below.1. The coefficient of static […]
Explore MoreA block A of mass M is placed on horizontal table. Another block B of mass m is places on block A as shown in figure. Now F force is applied on A. The conditions are explained below. 1. If there is no friction between A and B and between A and table, then A […]
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