CONCEPT OF TRIGONOMETRY: Trigonometry is the part of mathematics where we learn about the angle. We know that in geometry the measured angle is restricted in between  to  and it is positive. But in trigonometry there is no limit of angle and it may be positive or negative. Let us consider OA and OB are […]
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Work: Work is said to be done when a force is applied on a body and the body is displaced through a certain distance in the direction of the applied force. If F is the force is applied on a body at an angle θ with displacement S, then work done on the body is
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Circular motion: Angular displacement: When a particle is in circular motion about an axis or centre, the angle described by the radius about the axis or centre is called angular displacement. A particle rotates in a circular path of radius r about the centre O. The particle moves from A to B through the circumference
Displacement – time graph: 1. The slope of displacement – time graph gives velocity. A and B are two points on the graph and AC is parallel to x axis and BC is perpendicular to AC. The change in displacement is BC = and the change in time is AC = . The slope of
Vertical motion: 1. When a body is dropped from a height under gravity and neglecting the resistive forces, then, initial velocity of the body (u) is zero. The acceleration of the body is a = g. The velocity of the body at time t is v = gt [using v = u + at]. The
1. Prove v = u + at: Let us consider a particle is moving with uniform velocity u. Then it accelerates uniformly with a and after time t its final velocity is v. The change in velocity is (v – u) for time t. The acceleration of the particle is a . Or, Or, at
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Speed: The distance travelled by a particle per unit time is called speed. Speed is a scalar quantity. Speed = . If s distance travelled by a particle in time t then speed of the particle is . SI unit of speed is ms-1 and the dimension is [LT -1]. Uniform speed: A particle or
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Distance: The length of the actual path travelled by a particle between the initial and final position of it in a given interval of time is called distance. Distance is the scalar quantity. SI unit of distance is meter (m) and dimension is [L]. Displacement: The shortest distance travelled by a particle between the initial
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TYPES OF MOTON: (i) Translation motion: A body has translation motion if a line joining any two points on the body remains parallel to itself throughout the motion of the body. (a) Rectilinear motion: When the translation motion takes place along a straight line then the motion is called rectilinear motion. Example – A ball
FRAME OF REFERENCE: The fixed point or place with respect to which the position, velocity, acceleration etc. of another body or an object is measured is known as frame of reference. TYPES OF REFERENCE FRAME: There are three types of coordinate systems to represent the reference frame. 1. Cartesian coordinate system, 2. Cylindrical coordinate system,
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