PROBLEM 3: The tank shown in the figure weighs 3.8 kN. In this problem, D = 1.5 m, H = 3.4 m and e 55°. (a) If the tank is filled with water, determine the smallest force P to tip the tank, in kN. (b) Determine the smallest coefficient of static friction that would allow tipping to take place. (c) If a force P = 12.5 kN can initiate tipping, what must be the depth of water in the tank, in meters? HINT: Weight = Unit weight of water x Volume, Unit weight of water = 9.81 kN/m³. D
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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.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.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.
- The block of weight W = 10 kN is pulled by the force P inclined at the angle = 15 to the horizontal. Find the smallest force P (in kN, round-off to 2 decimal places) that would cause impending sliding of the block. The angle of static friction between the block and the ground is = 15.In order to burgle a local McDonald's, the Hamburglar must climb onto the roof. To do this, a ladder of length 3.31 m and mass 21.2 kg is placed leaning against a vertical wall, as shown in the image below. There is negligible friction between the ladder and the wall, but the same is not true for the ladder and the ground: us ≠ 0 between those two surfaces. Even with that friction, the ladder will start slipping if the angle ø ladder makes relative to the ground is less than 71.0°. Assuming the ladder is uniform (so that its center of gravity is located at its geometric center), what must be the maximum static frictional force (in N) that exists between the bottom of the ladder and the ground? Explain how you solved the problem involving a ladder leaning against a wall. Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!A 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?
- A 360-kg block is resting on a 23 deg inclined plane with a coefficient of friction = 0.47. Find the required horizontal force P (kN) that is necessary to start the block UP the incline.A 140-kg block is resting on a 25 deg inclined plane with a coefficient of friction = 0.83. Find the required horizontal force P (kN) that is necessary to start the block UP the incline ROUND OFF TO TWO DECIMAL PLACES.Q1) Yousif pushes toward the right on an 11.0 N force on the box in the opposite direction. The magnitude of the kinetic friction force between the box and the very smooth floor is 4.50 N as the box slides toward the right. Also, the magnitude of the normal force is 98 N. For the above information, find the following? a box with a force of magnitude 31.0 N. Sarah applies 6. The free-body diagram 7. The mass of the box 8. The box's acceleration in the x-direction 9. The box's acceleration in the y-direction 10. coefficient of dynamic friction Q 2) A rope pulls the block up the ramp, as shown in the figure. Find the following: 7. Draw a free body diagram for the block. 8. Write the equation that sums the forces on the block that are parallel to the ramp. 9. Write the equation that sums the forces on the block that are perpendicular to the ramp. 10. What is the acceleration of the block perpendicular to the ramp? 11. What is the friction force? a = 4.3 m/s? T = N A = 0.45 6.0 kg 0= 30°…
- Q3 A body of 450 N is placed on a 45° incline surface. Find the horizontal force P required to move the body upward if the coefficient of friction between the body and the surface is 0.2 ?An engineer trying to determine whether her crane will tip over when attempting to lift a 13K load. Her crane has a 15K chassis and 35K counterweight. Assume all other parts of the crane have negligible weight. Answer all questions relative to the rotation point. How much torque is caused by the load? How much torque is caused by the chassis? How much torque is caused by the counterweight? What is the normal force on the rear (right) outriggers? What is the normal force on the front (left) outriggers? *each box in picture = 5 ftTwo blocks are connected by a (massless) string that passes over a (massless, frictionless) pulley as shown. Assume the interface between block A and the horizontal tabletop to be frictionless. pulley If mA = 6.3 kg and mg = 8.8 kg, what is the tension in the string? Express your answer in N, to at least one digit after the decimal point.