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UEME 1143 – Dynamics Assignment 2 Instructions: Answer ALL questions and s ubmit your answers in softcopy only ( PDF format) using the Assignment 2 Submission Link in wble before the due date. The answer can be in either hand writing or computer typing but make sure it is clear enough to be read ! Also, i nclude the given cover page in your submission. Q1. A 10 g bullet travels at a horizontal velocity of 200 m/s and bombards the lower end of a stationary bar of mass m = 0.5 kg and length l = 500 mm , as shown in Figure Q1 . The bullet is imbedded to the bar after the impact. The moment of inertia of the bar is given as = 1 12 2. (i) Draw the impulse -momentum di agram of the entire system before and after the impact. (5 marks) (ii) Determine the required distance h if the impulsive reaction at C is zero. (12 marks) (iii) Determine the corresponding angular velocity of the bar immediately after the arrow strikes and becomes embedded in the bar. (8 marks) [Total: 25 marks] Figure Q1 200 m/s h A B C L = 500 mm Q2. You are required to propose the intermediate four (4) sections of a track with sphere rolling on it as indicated in Figure Q2 . There ar e no restrictions on the dimensions (length, height , etc) for the four sections . A sphere of mass 1kg and radius of 10cm is to be release d from rest at point A, then rolls without sliding on the track including the four sections that you proposed . At the last section of the track, the sphere is moving on a horizontal surface and reaches point B where it leaves the su rface and travel towards point C. Knowing that a = 1m, b=2m. As part of requirements, t he four section s of the track should have: 1. At least two (2) section s of curve (any radius of your choice ) 2. Incline or decline surface (s) (any length or angle of your choice ). Sketch the proposed track with proper label ling and dimension ing . (i) Select a method to solv e this question and explain on your selection . (5 marks) (ii) With the method selected in Part (i), d etermine the velocities at the starting and ending points of each section for the proposed track . (10 marks ) (iii) Determine the distance travelled ( c) based on your proposal . (5 marks) (iv) Explain with calculations on what modification(s) that you can later propose to further increase the distance travel ( c). (5 marks) [Total: 25 marks] Figure Q2 1 2 3 4