a) Figure Q5 shows a 50 kg disc which can roll along a semi-circular chute having a radius, R of 2m before hitting a sto

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A Figure Q5 Shows A 50 Kg Disc Which Can Roll Along A Semi Circular Chute Having A Radius R Of 2m Before Hitting A Sto 1 (42.74 KiB) Viewed 35 times

a) Figure Q5 shows a 50 kg disc which can roll along a semi-circular chute having a radius, R of 2m before hitting a stopper in position 2. The disc in position 1 has an initial angular velocity, w; of 20 rad/s. The stopper has two parallel springs each has a stiffness, k= 500 N/m. Using the conservation of energy and ignoring the contact friction, determine the following: i) The maximum angular velocity, w of the disc before hitting the stopper at position 2. ii) The maximum compression in the springs. Disc diameter = 0.2 m and disc inertia 1= 1 kgm² [12 Marks] Disc G Position 1 Gravity 002 Position 2 Figure Q5 b) A theoretical cycle consists of the following thermodynamic processes: 1 An adiabatic expansion process from a pressure of P₁ kPa and a volume of 1 m² to a pressure of P; kPa and a volume of V₂ m² according to PV²=C. 2 An isobaric expansion process to a volume of 5 m³ 3 An isothermal compression process back to the initial state in (1). If the work done during isobaric process is 276.4 kJ, i) Sketch pressure volume diagram of the thermodynamic cycle [2 marks] ii) Calculate volume V₂. [4 Marks] iii) Calculate pressures P, and P₁. [4 Marks] iv) Calculate the net work done in the cycle. Specify whether this work is done on or by the system. [3 marks] R=2m Chute Stopper Springs wow