Consider the following 3 planar circles with identical mass density per unit area of o. One of the circles is put between and above the other 2 identical circles (radius R). The radii of contact points between the upper circle and the lower circles make an angle 0 with the horizontal. Ignoring all the frictions, what is the horizontal force, F, on each side of the lower circle in order to keep them stationary?
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- In a grand prix race of mass m= 600 kg as it travels on a fast track on a circular arc of radius r = 100 m because of the shape of the car and the wings on it. The passing air exerts a negative lift FL downward on the car. If the coefficient of static friction between the tire and the track is 0.75 and if the car is on the verge of sliding out of the turn when its speed is 28.6 m/s, what is the magnitude of the negative lift acting downward on the car?As shown in the figure below, a box of mass m = 67.0 kg (initially at rest) is pushed a distance d = 65.0 m across a rough warehouse floor by an applied force of FA = 216 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) (a) work done by the applied force WA = J (b) work done by the force of gravity Wg = J (c) work done by the normal force WN = J (d) work done by the force of friction Wf = J (e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNet = J (f) Now find the net work by first finding the net force on the box, then finding the work done by this net force. WNet = JA brick of mass m is initially at rest at the peak of an inclined plane which has a height of 5.52m and has an angle of θ=20.3∘ with respect to the horizontal. After it has been released, it is found to be traveling at v=0.84m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the brick and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. What is the speed of the brick, in meters per second, just after it leaves the inclined plane? Find the distance, d, in meters.
- A particle is projected vertically upward in a constant gravitational field with an initial speed Vo. There is a retarding force proportional to the instantaneous speed. Calculate the time it takes to come back to the initial position.A car of mass m passes over a hump in a road that follows the arc of a circle of radius R. (a) If the car travels at a speed v, what force does the road exert on the car as the car passes the highest point of the hump? (b) What If? What is the maximum speed the car can have without losing contact with the road as it passes this highest point?Calculate the resultant ground reaction force during the inital contact phase (to the nearest whole number) given the following data vertical force Z =995 N and horizontal force X = -261 N Answer e to search E D Check C R F V Bi T G St 6 B H N J 8 M L O P₂ P ? ctri greeus / 3 pause 5°C Mostly cloudy # lock 7 home 4 Next page 1 12:15 30/11/2023 8
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