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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
- The 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_forward1) 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_forward
- 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_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_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
- X Incorrect In traveling a distance of 4.0 km between points A and D, a car is driven at 110 km/h from A to B for t seconds and 61 km/h from C to Dalso for t seconds. If the brakes are applied for 4.1 seconds between B and C to give the car a uniform deceleration, calculate t and the distance s between A and B. 110 km/h 61 km/h 4.0 km Answers: t = 82.90 2.53 kmarrow_forwardThe standard test to determine the maximum lateral acceleration of a car is to drive it around a 200-ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle speed until he is no longer able to keep both wheel pairs straddling the line. If this maximum speed is 28 mi/hr for a 3530-lb car, determine its lateral acceleration capability an in g's and compute the magnitude F of the total friction force exerted by the pavement on the car tires. Assume r = 100 ft. Answers: an = F= i i bn g lbarrow_forwardA train which is traveling at 75 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 55 mi/hr as it passes a point 1/2 mi beyond A. A car moving at 50 mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 3.3 sec and find the velocity v of the car as it reaches the crossing. Tw Answers: a = i V = i Train 75 mi/hr 1.0 mi 1.1 mil B Car 50 mi/hr ft/sec² mi/hrarrow_forward
- The 2-1b spool slides along the smooth horizontal spiral rod, r = (20) ft, where is in radians, as shown in (Figure 1). At the instant = 90°, its angular rate of rotation is constant and equals 0 = 4 rad/s. Figure 8 = 4 rad/s 1 of 1 P Determine the horizontal tangential force P needed to cause the motion. Express your answer in pounds to three significant figures. IVE ΑΣΦ ↓↑ vec P= 6.244 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? lbarrow_forwardThe 32000-lb airplane is flying in the vertical plane at 410 ft/s. At the instant shown, the angle = 30°, and the cartesian components of the plane's acceleration are ax = -4 ft/s², ay = 35 ft/s². Figure 1 of 1 0 ·x Part A What are the tangential and normal components of the total force acting on the airplane (including its weight)? Enter your answers numerically separated by a comma. VE ΑΣΦ ↓↑ vec Ft, Fn = Submit Request Answer Part B What is de/dt in degrees per second? (Figure 1) de/dt = Submit VE ΑΣΦ Request Answer ↓↑ vec ? ? lb °/sarrow_forwardA 60-kg block is at rest when an upward force parallel to the 15° surface is applied. If uk =0.18, and ,us= 0.23, a. Determine the acceleration if P=180N. b. Determine the acceleration if P=320N.arrow_forward
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