Question

Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question.

Answer:

Question 7 Implement the following: A reel consists of two solid uniform circular discs, each of mass m and radius 2R, attached to two ends of a solid uniform cylindrical axle of mass m and radius R. The reel stands on a rough horizontal table. A light inextensible string has one end attached to the curved surface of the axle and is wound several times round the axle. The string leaves the top of the axle in a direction perpendicular to the axis of the reel and parallel to the table, passes over a smooth light pulley and has a particle of mass m attached to its free end as shown in Figure Q7. On being released, the reel roll:s freely towards the pulley without slipping and the particle moves vertically downwards Figure07 Find the moment of inertia of the reel about its axis (a) (3 marks) (b) Show that when the reel rotates about its axis through an angle e, the centre of mass of the reel moves horizontally a distance 2Re, and the particle moves (4 marks) (c) Draw two diagrams indicating all the forces acting on the reel, and al the forces (5 marks) vertically a distance 3Re acting on the particle (d) Write down: - the equation of linear motion of the centre of mass of the reel, the equation of relative rotational motion of the reel about its axis, and the equation of motion of the particle (7 marks) 6 Show that the acce leration of the particle is 17 downwards, where g is the acceleration due to gravity (e) (6 marks) 7. a I4.5mR2 (d) Eqn of linear motion of reel Relative rotational motion of reel. Eqn of vertical motion of particle 4.5mR'θ 2RF + RT

Answer 1

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