A body whose mass is 12 kg rests on a plane inclined 30 ° with the horizontal. What force parallel to the incline must be applied so that it moves down with a = 1.25 m/s2? Coefficient of static and kinetic friction are 0.55 and 0.35, respectively. Specify whether the force is up or down the incline.
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A body whose mass is 12 kg rests on a plane inclined 30 ° with the horizontal. What force parallel to the incline must be applied so that it moves down with a = 1.25 m/s2? Coefficient of static and kinetic friction are 0.55 and 0.35, respectively. Specify whether the force is up or down the incline.
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- The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.
- A wedge is used to prop up the 6000-lb block of marble. The wedge angle is =30, and the angle of static friction is s=12 between all contact surfaces. Determine the smallest force P that would prevent the wedge from sliding out.The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.A crate of 68 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.5 m, and the angle 0= 13°. What is the maximum acceleration a (in m/s²) the cart can have without tipping over on the cart? The coefficient of static friction between the crate and the cart is ls = 0.49. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take g = 9.81 m/s2. 0.5 m |0.5 m G a Your Answer: Answer
- A crate of 68 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.5 m, and the angle 0= 13°. What is the maximum acceleration a (in m/s²) the cart can have without tipping over on the cart? The coefficient of static friction between the crate and the cart is ls = 0.49. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take g = 9.81 m/s². 0.5 m |0.5 m • G a Your Answer: AnswerA dictionary is pulled to the right at constant velocity by a 10 N force acting 30° upward above the horizontal. The coefficient of kinetic friction between the book and the horizontal surface is 0.5. What is the weight of the book?Q3.) A front wheel drive industrial truck is used to move a solid 1500 kg cylinder with a diameter of 1 meter up the 30° incline. The coefficients of static and kinetic friction between the cylinder and both surfaces are 0.4 and 0.2, respectively. Determine the required tractive force between the truck's front tires and the horizontal surface necessary to begin moving the cylinder up the incline. Assume negligible friction between the rear wheels and the horizontal surface. Consider two possible ways the cylinder might move up the incline. Note: the tractive force represents the friction force between the front wheels and the horizontal surface directed to the right. 30°
- Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume the box is sliding downhill. a. What is the magnitude of the acceleration of the box? (same as Problem 3b)b. If the hill is 5m tall, what is the Mary's speed when she reaches the bottom?c. At the bottom of the hill, the ground becomes level, but the coefficients offriction do not change. How far will Mary slide before she comes to a stop?A block of mass M=10kg is sitting on a surface inclined at angle 45° . Given that the coefficient of static friction is 0.5 between block and surface, what is the maximum force F that can be exerted without causing the block to slip?A box with a mass of 100 kg was originally attached to a spring in position A. After that, pressure was applied to the box until The spring compresses at a distance of X = 1 m and releases it, causing the box to move upwards along the inclined floor. if the floor is inclined, and Coefficient of friction uk = 0.3 Find the maximum distance in meters the box can travel along the slope.