Kinetics of particle
- How is Newton's second law used to relate force and acceleration of a particle in kinetics? In one line Kinetics links motion to its cause: the net force on a particle equals its mass times its acceleration, Σ F = ma , applied along... 1
- What is D'Alembert's principle and what is the inertia force in dynamic equilibrium? In one line D'Alembert's principle says that adding a fictitious inertia force -ma to the real forces turns a dynamics problem into an equil... 1
- How are equations of dynamic equilibrium applied to connected bodies over a pulley? In one line Draw an FBD of each body with its inertia force, link them through the common string tension and acceleration, and solve the equ... 1
- What is the principle of linear impulse and momentum and how is it applied? In one line The impulse of the net force on a particle over a time interval equals the change in its linear momentum. Explained simply Catch... 1
- What is the law of conservation of linear momentum and when can it be applied? In one line If no net external impulse acts on a system, its total linear momentum stays the same before and after an interaction. Explained... 1
- What is an impact, and what are direct, oblique and central impacts and the phases of collision? In one line An impact is a collision of two bodies over a very short time with very large forces; it is classified by the line of impact and... 1
- What is the coefficient of restitution and how is it found from relative velocities or bounce heights? In one line The coefficient of restitution e is the ratio of the relative velocity of separation to the relative velocity of approach along... 1
- How do you solve a direct central impact between two bodies using momentum and restitution? In one line Use conservation of momentum and the coefficient of restitution as two equations to find the two unknown final velocities. Expla... 1
- How is an oblique central impact solved, for a ball hitting a smooth surface or another ball? In one line Resolve velocities along and perpendicular to the line of impact; the perpendicular (tangential) components do not change, and t... 1
- How do you calculate the loss of kinetic energy in a collision of inelastic bodies? In one line Kinetic energy before minus kinetic energy after gives the loss, which depends on (1 - e²) and is zero only for a perfectly elas... 1
- Explain with neat sketch 1) Direct central Impact 2) Oblique central Impact. Line of impact: the common normal to the surfaces of the two colliding bodies at the point of contact. If the mass centres of both bodies li... 1
- A 50 kg crate shown in fig. rest on horizontal plane for which the coefficient of kinetic friction is μ = 0.3. If the crate does not tip over when it is subjected to a 400 N force, determine the velocity of the crate in 8 sec starting from rest using… Given: m = 50 kg, W = 490.5 N, P = 400 N at 30°, μ_k = 0.3 , u = 0, t = 8 s. Normal reaction ( Σ F_y = 0 ): N = 490.5 - 400sin30^° = 290.5 N... 1
- A cricket ball of mass 0.15 kg is moving with a velocity of 20 m/s. A player catches it and brings it to rest in 0.1 s. Find the impulse and average force applied. Impulse = change in momentum = m(v - u) = 0.15(0 - 20) = -3 N·s i.e. impulse of magnitude 3 N·s opposite to the ball's motion. Average force... 1
- The system shown in figure is initially at rest. Neglecting friction determine the force ‘P’ required if the velocity of the collar B is 5 m/s after 2 sec and corresponding tension in the cable.[Figure: a horizontal smooth rod is fixed to a vertical… Given: m_B = 3 kg, m_A = 1.5 kg, system starts from rest, v_B = 5 m/s after t = 2 s, all surfaces and pulleys frictionless. 1. Constraint (k... 1
- A 3 kg mass kept on a 30° slope is subjected to a variable force \(P = (t^2 + 3)\), where P is in ‘Newton’ and t is in ‘second’ find velocity of the block after 5 second using Impulse momentum principle. At t = 0, V = 0.[Figure: block on an incline r… Given: m = 3 kg, W = 29.43 N, μ = 0.2 , P = t² + 3 N down the slope, u = 0. The block moves down the slope, so friction acts up the slope. N... 1