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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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- Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=kN ) is a=g(sinkcos). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (k=0).arrow_forwardPart 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_forward
- Determine 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_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
- (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_forwardYou are driving and approaching a banked curve, 5% slope. If the speed limit says that the maximum speed is 100 kph while the minimum is 30 kph, what is the static friction coefficient between the road and the tires?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
- Gdarrow_forwardA car making a turn on a dry, banked highway ramp is experiencing friction. The angle of the bank is 40 degrees and the radius of turn is 78 m, what is the coefficient of static friction between the tires and the road if a 1350 kg car safely turn at 45m/s?arrow_forwardDetermine the force Prequired to force the 11° wedge under the 76-kg uniform crate which rests against the small stop at A. The coefficient of friction for all surfaces is 0.30. 2.3 m 1.2 m 76 kg A 1 11° Answer: P =arrow_forward
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