Bicycle wheels are manufactured having thin rims and tires of total mass D per unit length, and the spokes and axle may be ignored. Find the angular momentum of one bicycle wheel of radius r when the bicycle is traveling at velocity v, and hence comment upon whether you would prefer large wheels or small wheels to make a bicycle easiest to balance when riding it.

A 50 kg barrel with a diameter of .75 meters is placed on a 20° slope. Assuming the barrel rolls without slipping, what will the acceleration of the center of mass of the barrel be? 50 kg

Mechanical Engineering Question

Imagine an imperfect bowling ball that is weighed to one side so that its center of mass is no longer in the center as shown in the diagram below. Describe the speed of the ball as it rolls along a level floor using physics.

A cart (20 kg) is supported by 2 wheels (15 kg each) on a 30 degree incline. The wheels have a radius of 100mm and roll without slipping. WHAT IS THE ACCELERATION OF THE CART AFTER ITS RELEASED FROM REST?

Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center of mass at point G (located at the center of the square). Two forces are applied to the plate: FA is applied at corner A with some angle o relative to the edge of the plate, and FB is applied at point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration (translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about point A). FAS 2L 2L F B B a

Please show all work and diagrams! Anything is helpful.

Problem 3: Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 48 m from the center of rotation. The turbine rotates with a frequency of f= 15 rpm. Part (a) Enter an expression for the total moment of inertia of the wind turbine about its axis of rotation, in terms of the defined quantities. I= 7 8 9 HOME a b d 4 5 g h 3 k m P END S t vol BACKSPACE DEL CLEAR Submit Feedback I give up! Hint Part (b) Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. Part (c) Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. Part (d) Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

In a conceptual design, the power to move a bus comes from the energy stored in an onboard rotating flywheel. The flywheel has a mass of 1500 kg, a radius of gyration of 500 mm, and is brought to a maximum speed of 4000 rpm. If the bus starts from rest and acquires a speed of 72 kph at the top of a hill 20 m above the starting position, find the reduced speed of the flywheel. Assume 10% of the energy of the flywheel is lost due to frictional effects. Neglect the energy of the bus contained in the rotation of the wheels. The bus with flywheel is 10,000 kg. H Type here to search ThinkVision Esc @ 2 W F1 # 3 O E $ 4 F3 R % 5 F4 A 6 A F5 28 7 F6 8 F7 ( 9 F8 0 Fe F10 F11 F12 Backspace Prirk Scroon Sys Piq Insert Scroll Lock 00 Home Pause Break Page Up Man Lock 13000 37°F Cloudy (10) F 2:12 PM 4) 11/16/202 Lenovo

Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A.  Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.