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The roller-coaster track shown is contained in a vertical plane. The portion of track between A and B is straight and horizontal, while the portions to the left of A and to the right of B have radii of curvature as indicated. A car is traveling at a speed of 72 km/h when the brakes are suddenly applied, causing the wheels of the car to slide on the tack
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Vector Mechanics for Engineers: Dynamics
- A homogeneous cylinder of radius R > H rests on a horizontal board with a step of height H as the picture shows. Determine the maximum possible acceleration a from the table, such that the cylinder does not start to climb the step. The friction between the board and the floor is neglected.arrow_forward* Incorrect The 4000-lb car is traveling at 33 mi/hr when the driver applies the brakes, and the car continues to move along the circular path. What is the maximum deceleration possible (at is negative if the speed is decreasing) if the tires are limited to a total horizontal friction force of 4700 lb? 98 ft Answer: at i 29.13 ft/sec²arrow_forwardQuestion 1 [3/06]: During a brake test, the rear-engine car is stopped from an initial speed of 100 km/h in a distance of 50 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force F at each wheel. Assume a constant deceleration for the 1500-kg car. 50 m V₁ = 100 km/h V2=0arrow_forward
- Explanation it correctly and detailsarrow_forwardThe block B and cart A are located as shown. Mass of the block B is 30 kg and that of the cart A is 105 kg. If the angle θ(theta) is 30° and the coefficient of friction between A and B is 0.3 (μs = μk = 0.3),What is the acceleration of the box B with respect to the ground?arrow_forwardThe "flying car" is a ride at an amusement park which consists of a car having wheels that roll along a track mounted inside a rotating drum. By design the car cannot fall off the track, however motion of the car is developed by applying the car's brake, thereby gripping the car to the track and allowing it to move with a constant speed of the track, vt = 3 m/s. The rider applies the brake when going from B to A and then releases it at the top of the drum, A, so that the car coasts freely down along the track to B (0 = π rad). Neglect friction during the motion from A to B. The rider and car have a total mass of 390 kg and the center of mass of the car and rider moves along a circular path having a radius of R = 9.8 m. (Figure 1) Figure R Barrow_forward
- 1) A cable is attached to a 0.5 kg block that slides over the smooth rigid horizontal rod AB. The diagram shown depicts the vertical plane. The cable tension is constant value T. At point C the speed of the block is 6 m/s to the left and at point D the speed is 1 m/s to the left. Determine the value of T. Note: take gravitational acceleration g=9,806 3 m D C A 4 m-arrow_forwardThe driver of the truck has an acceleration of 0.55g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 105 m, and the center of mass G of the driver (considered a particle) is 2.0 m above the road. Calculate the speed v of the truck.arrow_forwardThe driver of the truck has an acceleration of 0.4g as the truck passes over the top B of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 96 m, and the center of mass Gof the driver (considered a particle) is 2.1 m above the road. Calculate the speed (kph) of the truck. Round off only on the final answer expressed in 3 decimal places. curved path.png Barrow_forward
- 7) A car weighing 20 kN is moving at a speed of 60 km/h on a road having a vertical radius of curvature of 200 m as shown. At the instant shown, what is the maximum deceleration possible from the brakes along the road for the vehicle if the coefficient of dynamic friction between the tires and the road is 0.55? 200 m 15° U2arrow_forwardIn the following problem please include a sketch of the problem, quantities given, quantities to be found, and boxed answer with units.arrow_forwardThe driver of the truck has an acceleration 0.48g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 90 m, and the center of mass G of the driver (considered a particle) is 3.0 m above the road. Calculate the speed v of the truck. A 3.0 m Answer: v= i km/harrow_forward
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