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Calculate the maximum deceleration of a car that is heading down a 6° slope (one that makes an angle of 6° 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
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- Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76arrow_forwardWe 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_forwardIn figure (a) below, a sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on the verge of moving up the plane. In figure (b) below, the magnitude F required of the cord's force on the sled is plotted versus a range of values for the coefficient of static friction us between sled and plane: F1 = 2.5 N, F, = 5.3 N, and µɔ = 0.65. At what angle 0 is the plane inclined? o above the horizontal F F2 (a) (b)arrow_forward
- 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. (b) On wet concrete. (c) On ice, assuming that μs = 0.100 , the same as for shoes on ice.arrow_forwardA 45 kg box is at rest at one end of a 2 meter board. That end of the board is slowly raised at an incline until the box starts to slide. At that point, the angle is at 34 degrees. The coefficient of kinetic friction is 0.50N. Please help me calculate the coefficient of static friction between both the box and the board?arrow_forwardA box weighing 1000 N is sitting in an inclined plane with an angle of 45°. Given the coefficient of friction of 0.25, calculate the horizontal force that can start the box the moving forward.arrow_forward
- Calculate the maximum acceleration of a car that is heading up a 4º slope (one that makes an angle of 4º 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.) On dry concrete, assuming that ??=1.0.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_forwardA person pushes a large block on a horizontal ice surface in a straight line to the right with constant speed, as shown above. The mass of the block is 10�� and frictional forces between the block and the ice are negligible. However, the block has a wide cross-sectional area such that air resistance acting on the block cannot be neglected. The opposite is true for the person: air resistance on the person is negligible, but the person’s shoes do not slip on the ice. The table shows the force exerted by the person on the block for several values of constant speed.arrow_forward
- A flat (unbanked) curve on a highway has a radius of 170.0 m. A car rounds the curve at a speed of 25.0 m>s. (a) What is the minimum coefficient of static friction that will prevent sliding? (b) Suppose that the highway is icy and the coefficient of static friction between the tires and pavement is only one-third of what you found in part (a). What should be the maximum speed of the car so that it can round the curve safely?arrow_forwardplease answer all :)) 1. Two blocks are positioned on surfaces, each inclined at the same angle of 41.9 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.95 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.310. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at a constant velocity? 2. Two blocks are positioned on surfaces, each inclined at the same angle of 57.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 7.09 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.510. Assume static friction has…arrow_forwardI 00LLJ408 - Go.. Question Info and Solutions Blocks A and B of mass 5 kg and 10 kg respectively are placed on a Smooth inclined plane of Inclination 30, as shown. Block A and B are subjected to forces 5 N And 50 N respectively along the incline, as shown. The coefficient of friction between A andBis 0.50 find the frictional force between A and B in N is: (g= 10 ms SOH 300 Options Solution Fs=Static frictional force umg cos 30 (0.5) (5) (10) cos 30 21.6 N Let a be the acceleration of both the blocks along 5.27 PMarrow_forward
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