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Calculate the maximum acceleration of a car that is heading up a 4° slope (one that makes an angle of 4° with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved that—is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that
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- We know from studying friction forces that static friction increases with increasing normal force between the surfaces, which becomes important for vehicles traveling on icy or snowy roads that have coefficients of static friction much smaller than those of dry pavement. In particular, the greater the normal force on the drive wheels (those coupled to the engine), the better the traction. The horizontal position of the center of mass of a typical compact automobile is located 1.1 m toward the rear as measured from the front wheel axle. The wheelbase (distance from the front wheel axle to the rear wheel axle) is 2.7 m. Assume the car is stationary on level ground and has a weight of 12,000 N. Determine the total normal force on the two front tires and on the two rear tires. Which do you suppose are the drive wheels in this case?arrow_forwardA 0.50-kg ball that is tied to the end of a 1.3-m light cord is revolved in a horizontal plane, with the cord making a 30° angle with the vertical. (a) Determine the ball's speed. (b) If, instead, the ball is revolved so that its speed is 3.5 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.2 N, what is the highest speed at which the ball can move?arrow_forward8) Calculate the maximum acceleration of a car that is heading up a 4.00° slope (one that makes an angle of 4.00* with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved-that is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On dry concrete with ¼4; = 0.950. (b) On ice with #s = 0.100.arrow_forward
- Part of riding a bicycle involves leaning at the correct angle when making a turn. To be in equilibrium the total force exerted by the ground must be on a line through the center of gravity (CG) of the bicycle and rider, as indicated on the figure below. Turns on ice are much more difficult to negotiate than turns on concrete. What is the minimum coefficient of static friction required for a person with mass of 75 kg to negotiate the curve at a velocity of 8.0 m/s and with a turn radius of 25.0 m?arrow_forwardCalculate the maximum acceleration of a car that is heading down a 6.00° slope (one that makes an angle of 6.00° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car: (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that μs = 0.100 , the same as for shoes on ice.arrow_forwardDetermine the maximum theoretical speed that may be achieved over a distance of 110 m by a car starting from rest assuming there is no slipping. The coefficient of static friction between the tires and pavement is 0.75, and 60 percent of the weight of the car is distributed over its front wheels and 40 percent over its rear wheels. Assume (a) front-wheel drive, (b) rear-wheel drive.arrow_forward
- (a) If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration (in m/s?) it can achieve on wet concrete where the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 0.7. 3.43 m/s? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate where the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.55? O No O Yes (c) If the truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s²)? 4.9 x m/s2 Will it slip? O Yes O Noarrow_forward(a) If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration it can achieve on wet concrete where the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 0.7. (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate where the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.55? (c) Answer both of these questions for the case that the truck has four-wheel drive, and the cabinet is wooden. Will it slip?arrow_forwardA car starts rolling down a 1-in-4 hill (1-in-4 means that for each 4 m traveled along the sloping road, the elevation change is 1 m). How fast is it going when it reaches the bottom after traveling 55 m? (a) Ignore friction. (b) Assume an effective coefficient of friction equal to 0.10.arrow_forward
- How much sand (in kgs) is needed to be added into the can in order to overcome friction from the table? The box and the can weighs 3.5 kg and 0.5 kg, respectively and the coefficient of static friction between the box and the table is 0.35. Assume the pulley is frictionless.arrow_forwardA man standing on the ground exerts a horizontal force of 439 N when pushing on his friend standing on the skateboard.If the friend’s mass is 70 kg, the skateboard’s mass is 2 kg, and the coefficient of static friction between the friend’sfeet and the skateboard is 0.8, calculate the magnitude of the force of static friction between the skateboard and thefriend’s feet. You can assume that the wheels on the skateboard are good enough so that you can neglect frictionbetween the wheels and the ground.arrow_forwardThe FedEx and UPS boxes have almost reached the top of the inclined plane they have been moving along and are now arrangedThe UPS box has a mass of 3.0 kg, and the FedEx box has a mass of 1.0 kg. The inclined plane is frictionless;however, the horizontal floor has coefficients of static and kinetic friction of 0.5 and 0.2. The pulley is frictionless, and the massesof the pulley and cord are negligible. Answer the following about this system. a.What is the size of the normal force on the UPS box?b. This system will begin to move if released from rest. However, if youpressed with a downward force on the FedEx box, this system could remain at rest.What size force is required? Your solution should include two free-body diagrams.c. If the system was set into motion down the ramp, without the forcementioned in the previous part, what would be the acceleration of the system? Yoursolution should include two free-body diagrams.arrow_forward
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