A shaft is rotating at a uniform angular speed. Four masses M1, M2, and M3 and M4 of magnitudes 300kg, 450kg, 360kg, 390kg respectively are attached rigidly to the shaft. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mmand 300mm respectively. The angle made by these masses with horizontal are 0°.45°, 120°and 255°respectively. Find- (i) the magnitude of balancing mass (ii) the position of balancing mass if its radius of rotation is 200mm.

B2

A shaft caries four rotating masses A, B, C and D which are completely balanced. The masses B, C and Dare 50kg, 80kg and 70kg respectively. The masses C and D make angles of 90° and 195° respectively with mass B in the same sense. The masses A, B, C and D are concentrated at radius 75mm,100mm,50mm and 90mmrespectively.The plane of rotation of masses B and C are 250mm apart.   Determine   the magnitude of mass A and its angular position   the position of planes A and D.

Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B is 7kg and radii of C & D makes an angle 90 0and 120 0respectively with theradius of B. find magnitude of masses A, C, D and the angular position of A so that systemis to be in completely balancing

In the figure below there is one larger disc centred in O of radius 10 cm, a smaller disc centred in A of radius 3 cm, and an outer ring of neglectable thickness centred in O. The rod OA is fixed and cannot rotate, but the discs and the ring can rotate freely around their centres. B If the rotation speed of the inner larger disc centred in O is 2500 rpm, find the angular speed of the upper point B which is part of the outer ring, in rad/s.

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A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.

M M 1.5m m M m = 2kg. M = 3.5kg a) justify whether the moment of inertia about the vertical or horizontal axis have smaller value. Show your calculation. (b) Given angular velocity of 80 rev s¹ in 240 rev. Has a moment of inertia of 1.41x10-3 kg m2. Find: (i) angular acceleration. (ii) net constant torque must apply (c) A space station consists of a giant rotating hollow cylinder of mass 10 kg including people on the station and a radius of 100 m. Given initial angular velocity of 3.3rpm in order to generate artificial gravity. If 100. people, each with an average mass of 65 kg spacewalk to an awaiting spaceship. Find the new angular velocity (in rpm) once all the people are off the station. (d) Suppose a child walks from the outer edge of a rotating merry-go-round to the center. What happend to the angular velocity of the merry-go-round does it increase, decrease, or remain the same? By using the conservation of angular momentum, explain your answer qualitatively.. A large train has…

1. There are four masses connected to a rotor that rotates in bearings at both ends. These four masses are lying at the radii of 90, 115. 190, and 140 mm respectively from the axis of rotation, and the planes in which these masses rotate are spaced 0.8 meters apart. The magnitudes of 03 masses are gives as: m¡ = 12 Kg, m, = 7 Kg, m, = 5 Kg. Find the value of the mass m, and the relative angular settings for the shaft to be in complete balance.