Question 3 (20 marks) A uniform rectangular piece of card ABCD has AB = 6a and BC = 2a. One corner of the rectangle is f
Posted: Tue May 17, 2022 8:05 pm
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Question 3 (20 marks) A uniform rectangular piece of card ABCD has AB = 6a and BC = 2a. One corner of the rectangle is folded over to form a trapezium ABED as shown in the following diagram: D E 2a A 4a 2a B Find the distance of the centre of mass of the trapezium from (a) AD, (b) AB. The lamina ABED is freely suspended from E and hangs at rest. (c) Find the angle between De and the horizontal. The mass of the lamina is M. A particle of mass m is attached to the lamina at the point B. The lamina is freely suspended from E and it hangs at rest with AB horizontal. (d) Find m in terms of M.
Question 3 (20 marks) A uniform rectangular piece of card ABCD has AB = 6a and BC = 2a. One corner of the rectangle is folded over to form a trapezium ABED as shown in the following diagram: D E 2a A 4a 2a B Find the distance of the centre of mass of the trapezium from (a) AD, (b) AB. The lamina ABED is freely suspended from E and hangs at rest. (c) Find the angle between De and the horizontal. The mass of the lamina is M. A particle of mass m is attached to the lamina at the point B. The lamina is freely suspended from E and it hangs at rest with AB horizontal. (d) Find m in terms of M.