If we are studying the motion of body of mass m, in a frame of reference with acceleration a, the pseudo force to be introduced. In an accelerated frame of reference, Newton’s laws are not applicable unless we introduce pseudo forces.

(f) Solve the equations written in above steps to get the results. (e) Write constraint relation if required and possible. (d) Apply F = ma in the direction of motion and a = 0 in the direction of equilibrium. (c) Resolve forces in the direction of motion and perpendicular to it. (a) Identify the unknown forces and accelerations. Stepwise Procedure to Solve Questions Based On Motion Of Connected Bodies (vi) Motion of two bodies placed on two inclined planes having different angle of inclination, thenĪcceleration a = (m 1 sin θ 1 – m 2 sin θ 2) g / m 1 + m 2 Tension T = m 1m 2(1 + sin θ) g / (m 1 + m 2) (v) Motion on a smooth inclined plane, thenĪcceleration a = ((m 1 – m 2 sin θ/ (m 1 + m 2)) * g Tension T 1 = (2m 2 + M / (m 1 + m 2 + M) * m 1g (iv) When two masses m 1 and m 2 are connected to a single mass M as shown in figure, thenĪcceleration a = ((m 1 – m 2 / (m 1 + m 2 + M)) * g Tension in string T = (m 1m 2(1 + μ) / (m 1 + m 2)) * g (iii) When a body of mass m2 is placed on a rough horizontal surface, thenĪcceleration a = ((m 1 – μm 2) / (m 1 + m 2)) * g Tension in string T = m 1m 2g / (m 1 + m 2) (ii) When a body of mass m 2 is placed frictionless horizontal surface, then (i) When unequal masses m 1 and m 2 are suspended from a pulley Unless stated otherwise, pulleys and strings are massless (c) Tension in string: Along the string, away from the body under consideration. (b) Weight of body: Equals to Mg and acts vertically downward. (a) Normal force: Normal to the surfaces of contact and towards the body under consideration. If one of these two forces is considered as action, then other will be reaction.

(c) Law 3: When a body A exerts a force on another body B, B exerts an equal and opposite force on A. In, the quantity m is called “inertial mass” of body Where F is the resultant impressed force and a is the acceleration Gives relation between force and acceleration (a) Law 1: Everybody remains at rest or continues to move with uniform velocity unless an external force is applied to it. It is an agent that changes or tends to change the state of rest or of uniform motion of a body in a straight line.

Laws of motion