Bending 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 […]
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4. 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
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1. 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
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Circular motion of a body in vertical plane:Â 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.
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The 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
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Friction 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
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 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
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 F force is applied on B. The conditions are explained below. 1. If there is no friction between A and B and between A and table, then B
Friction related concepts: 1. A car of mass m is moving with speed u and brake is applied so that it travels distance s before stop. Find frictional force and coefficient of friction between the wheel and the road. Using the equation v2 = u2 + 2as we get, 0 = u2 – 2as or,
Friction: Friction is the retarding force which acts tangentially to the contact surface when a body actually moves or tends to move over the surface of another body. Static friction: The force of friction which exactly counter-balance the applied force during the stationary state of a body is called static friction. So static friction is
