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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_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
- A 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_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_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
- The [your birth month -kg package resting on the floor will be lifted using pulley-cable system shown below. The winch delivers a horizontal towing force to its cable at A which varies through time as shown in the graph. Determine the speed of the package when t = 5 and 8 s. Also, determine the time when will the package stop. Neglect the mass of the cable and pulleys. %3D T A T (N) 750 FRAGILE 5 8 · t (s)arrow_forwardA 10-lb block B rests as shown on a 20-lb bracket A. The coefficients of friction are μs= 0.30 and uk = 0.25 between block B and bracket A , and there is no friction in the pulley or between the bracket and the horizontal surface. (a) Determine the maximum weight of block C if block B is not to slide on bracket A.(b) If the weight of block C is 10 percent larger than the answer found in a, determine the accelerations of A, B, and C.arrow_forward(a) A force F pushes on a 25kg box as shown in the figure. The coefficient of static friction between box and incline is ps = 0.20. How large a horizontal force must push on the block if the block is to be on the verge of sliding up the incline? 3. 25 kg „40. 40° (b) A force F applied to an object of mass mi produces an acceleration of 3 m/s?. The same force applied to a second object of mass m2 produces an acceleration of 1 m/s?. If mi and m2 are combined, find their acceleration under the action of the force F?arrow_forward
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