Calculate the moment of inertia, Izz, of the simple crankshaft in the figure below. The material has a density of 7700kg/m3. All the round parts have a diamter of 50mm. All diamtions is in millimeters. Both ends are 60mm in length.
Use Hamilton's principle to show that the equation of motion for axial vibration of a tapered rod is
Hamilton's principle to show that the equations of motion of a deep uniform beam element are
Use rules of inference to show that the hypotheses “If the weather is not too hot or not too cold, then the game will be held and a prize-giving ceremony will occur,” “If the game is held then the VC will give a speech,” “The VC did not give a speech,” imply the conclusion “The weather was too hot.”
A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five
seconds after he passes her car, she starts following after him. What is the shortest
possible distance in which she will catch up to the cyclist if he maintains speed and
she obeys the speed limit of 70 km/hr? The car has a maximum acceleration of 3.5m.s2
A 14 m long truck is driven alongside a 500 m long train with the same velocity of
25 m/s. The front of the truck is 7 m behind the rear of the train. At a certain instant, the
truck stars accelerating at 0,08 m/s2, while the train starts decelerating at 0,4 m/s2. How
long will it take before the rear of the truck passes the front of the train and what distance
would the truck have covered in this time?
A car of length 5 m is being driven parallel alongside a 100 m long train at the same
speed. The front of the car is 10 m behind the rear of the train. At the instant the train
decelerates at 0.4 ms2 the car accelerates at 0,15 ms2. How long will it take for the rear
of the car to pass the front of the train?