A bicycle rider has M. The wheels of the bicycle are at distance l apart and horizontal distance between the seat and the rear wheel is d. Use principle of virtual work to find the normal reactions on the base of the two wheels when the rider is riding steadily.
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A bicycle rider has M. The wheels of the bicycle are at distance l apart and horizontal
distance between the seat and the rear wheel is d. Use principle of virtual work to find the normal
reactions on the base of the two wheels when the rider is riding steadily.
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- Count the number of degrees of freedom in the following mechanical systems: A spinning top (i.e., a rigid body rotating about a fixed point; all points of the body can rotate except for the point on the body that is fixed), a compact disc (i.e., a rigid body rotating about a fixed axis; all points in the body that lie along the axis are not moving), and a crawling insect all fall into the first category (i.e., a particle moving on a given surface)When turning on a motor, it reaches a nominal speed of 2,500 rpm in a time of 12 s; when the motor is turned off it takes 42 s to come to a complete stop. If we start from the angular motion is uniformly accelerated, determine the number of revolutions that performs the motor to reach the rated speed and then to stop.A 0.50 kg mass can slide along the frictioneless loop the loop with loop radius R = 12 cm. The block is released from rest at point P, at height h=7R above the bottom of the loop. How much work is exerted on the block by the gravitational force as it travels from P to Q? Use g = 10 N/kg.
- The rotation of a 11 kg motorcycle wheel is depicted in the figure. The wheel should be approximated to be an annulus of uniform density with inner radius R1 = 27 cm and outer radius R2 = 33cm. Randomized Variables ω = 132 rad/sR1 = 27 cmR2 = 33 cm m = 11 kg Calculate the rotational kinetic energy in the motorcycle wheel if its angular velocity is 132 rad/s in J.Count the number of degrees of freedom in the following mechanical systems: A spinning top (i.e., a rigid body rotating about a fixed point; all points of the body can rotate except for the point on the body that is fixed), a compact disc (i.e., a rigid body rotating about a fixed axis; all points in the body that lie along the axis are not moving), and a crawling insect all fall into the first category (i.e., a particle moving on a given surface)Motive power for the experimental 19.0-Mg bus comes from the energy stored in a rotating flywheel which it carries. The flywheel has a mass of 1510 kg and a radius of gyration of 415 mm and is brought up to a maximum speed of 3940 rev/min. If the bus starts from rest and acquires a speed of 74 km/h at the top of a hill 54 m above the starting position, compute the reduced speed N of the flywheel. Assume that 9 percent of the energy taken from the flywheel is lost. Neglect the rotational energy of the wheels of the bus. The 19.0- Mg mass includes the flywheel. Answer: N = i rev/min
- A car with a mass of 1020 kg is traveling in a mountainous area with a constant speed of 64.9 km/h. The road is horizontal and flat at point A, horizontal and curved at points B and C. A B IC IB The radii of curvatures at B and C are: rg = 130 m and rc = 120 m. Calculate the normal force exerted by the road on the car at point A. Submit Answer Tries 0/12 Now calculate the normal force exerted by the road on the car at point B. Submit Answer Tries 0/12 And finally calculate the normal force exerted by the road on the car at point C.During steady motion of a vehicle on a level road, the power delivered to thewheels is used to overcome aerodynamic drag and rolling resistance (the product of the rollingresistance coefficient and the weight of the vehicle), assuming that the friction at the bearingsof the wheels is negligible. Consider a car that has a total mass of 950 kg, a drag coefficient of0.32, a frontal area of 1.8 m2, and a rolling resistance coefficient of 0.04. The maximum powerthe engine can deliver to the wheels is 80 kW. Use the air density of 1.20 kg/m3.a. Determine the speed at which the rolling resistance is equal to the aerodynamic drag force.b. Determine the maximum speed of this car.Jerry's great grandmother's vitrola plays records at 78 roatations per minute (rpm). Describe what will happen if Jerry starts the vitrola on a friction free table. Justify your answer.
- A uniform rod of length 1.20 m and mass 2.00 kg is free to rotate about a frictionless axle through one end. From the horizontal position, the rod is released from rest. A small piece of putty of mass 0.500 kg is suspended from the pivot by a string of negligible mass and length 0.800 m, as shown in the figure below. The putty sticks to the rod on contact. Determine the amount of mechanical energy dissipated in the collision. 1.20 m 0.800 m puttyThe apparatus below is a massless wheel of radius that is mounted to a frictionless axle. A small, dense piece of clay with mass is glued to edge of the wheel as shown. Another mass hangs from a massless string that is wrapped around the wheel. We can assume the string is inextensible and does not slip, and the system is in a uniform gravitational field. In terms of the rotation angle of the wheel, write down the total potential energy of the system of both masses. Take note of any constraints that you use to write this as a 1D problem.In the figure below, two 8.00 kg blocks are connected by a massless string over a pulley of radius 2.90 cm and rotational inertia 8.00 x 10-4 kg • m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.150 rad in 60.0 ms, and the acceleration of the blocks is constant. T (a) What is the magnitude of the pulley's angular acceleration? rad/s2 (b) What is the magnitude of either block's acceleration? m/s2 (c) What is the string tension T1? N