Determine the magnitude and location of the resultant of the force systems shown in Figure 6.
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- The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.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.
- The normal pressure acting on the disk of the sander is given by p=(4/3)+(r2/6), where p is the pressure in pounds per square inch (psi) and r represents the radial distance in inches. Determine the torque C required to operate the sander at constant speed if the kinetic coefficient of friction for the surface being sanded is 0.86.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.Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.
- The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.The coefficients of friction between the block ana the rail are us= 0.25 and uk= 0.20. Given: P2 = 200 N. P1 350 P2 Find the magnitude and direction of the smallest force P1 required to start the block moving up the rail. (You must provide an answer before moving on to the next part.) The magnitude and direction of the smallest force P1 required to start the block moving up the rail is °. N v (Click to select)A crate of 60 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart is L, and the incline has angle. The coefficient of static friction between the crate and the cart is g = {ms}. Match the following situations to the correct impending motion: if sliding will occur first or if tipping over will occur first? 0.5 m 0.5 m 0 G L = 1.2 m; 0= 7°, μg = 0.29. L = 1.0 m; = 13°, μg = = 0.45. L = 1.5 m; 0.3. 0 = 15, μs = L = 1.5 m; = 15°, µg = 0.5. L = 1.4 m;0= 7°, μl g= 0.4. a 1. Tipping over will occur first. 2. Sliding will occur first.
- Q1: In the Figure 1, two forces (P & Q) are acting on the same fixed point A. Find the resultant of these forces and its angle with the horizon by using: (a) Graphical solution. (b) Trigonometric solution. Q = 60 N Figure 1: P 40 N 35 Q2: A block of 15 kg was place on an inclined surface as shown in Figure 2. If the static coefficient of friction between the block and the surface is 0.3, find: (a) the maximum friction force. (b) the equilibrium state of the block. 15 kg Figure 2: 30A 200 lb block is in contact with a plane inclined at 30 degrees to the horizontal. A force P, parallel to and acting up the plane, is applied to the body. If the coefficient of static friction is 0.20, find: a. the value of P to just cause the motion to impend up the plane b. the value of P just to prevent motion down the plane c. the magnitude and direction of the friction force F if P= 80 lbsA block of mass m = 2.00 kg is sitting stationary on a table. A horizontal force of magnitude F = 5.00 N is applied to the block, as shown. The coefficient of static %3D friction is us = 0.700, and the coefficient of kinetic friction is uK = 0.500. What is the magnitude of the force of friction between the block and the table, in units of newtons? Enter the numerical answer without units. Your answer must be within 1% of the exact answer to receive credit. Us =0.7 m 3D UK = 0.5 2.0 kg %3D F = 5.0 N block at rest wered Answers 5 (with margin: 0.05)