Three particles of equal masses m are placed at the vertices of an equilateral triangle of side 2.0 m. Determine the centre of mass of this system.
To determine the center of mass of the system, we can use the concept that the center of mass of a system of particles is the weighted average of their individual positions, where the weights are the masses of the particles.
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A disc rotates with a period of 0.50s. Its moment of inertia about its axis of rotation is 0.08 kg m2 . A small mass is dropped onto the disc and rotates with it. The moment of inertia of the mass about the axis of rotation is 0.02 kg m2 Determine the final period of the rotating disc and mass system
A particle is being rotated in a centrifuge which has a radius of 5.0 m. If the particle’s centripetal acceleration is 4 g, determine its speed. What is the time period of its motion?
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A crate of mass 40.0 kg is pulled by a force of 2000 N, up an inclined plane which makes an angle of 3O with the horizon. The coefficient of kinetic friction between the plane and the crate is k = 0.20. If the crates slans from rest, calculate its speed after it has been pulled 10.0 m. Draw the free body diagram. Take g = 10.0 mn -2.
A merry-go-round is initially at rest. On being given a constant angular acceleration it reaches an angular speed of 0.50 rad s-1 in 10.0 s. At t = 10.0 s, determine the magnitude of: (i) the angular acceleration of the merry-go-round ; (ii) the linear velocity of a child sitting on the merry-go-round at a distance of 3.0 m from its centre; (iii) the tangential acceleration of the child; (iv) the centripetal acceleration of the child; and (v) the net acceleration of the child.