4-42. If the coefficient of static friction at A is p, = 0.4 and the collar at B is smooth so it only exerts a horizontal force on the pipe, determine the minimum distance x so that the bracket can support the cylinder of any mass without slipping. Neglect the mass of the bracket. 100 mm 200 mm
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- Determine the smallest force the man must exerton the rope in order to move the 80-kg crate Also,what is the angle θ at this moment? Thecoefficient of static friction between the crate andthe floor is μs = 0.3.Find the minimum force P required for impending motion of the block up the inclined surface, given: Mblock = 65 kg, θ = 52 °, μ = 0.4Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components ofreaction at the journal bearing C and thrust bearing D if θ = 0°. The bearings are in proper alignment and exert only force reactions on the shaft.
- The 3600-lb car with rear wheel drive is attempting to push the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide. (The car pulling the crate is analyzed in Prob. 7.19.)The ladder has a uniform weight of 80 lb and restsagainst the wall at B. If the coefficient of staticfriction at A and B is μ = 0.4 determine the smallestangle θ at which the ladder will not slip.3. Determine whether the 10 kg block shown is in equilibrium, and find the magnitude and direction of the friction force when P = 40 N and 0 = 20⁰. μ = 0.30 M = 0.25 20°
- The disk clutch is used in standard transmissions of automobiles. If four springs are used to force two plates A and B together, determine the force in each spring required to transmit a moment of M = 600lb-ft across the plates. The coefficient of static friction between A and B is u, = 0.3.The 2 kg ring is at the rest at point A as shown in the figure. If it is released through the circular rod what will be the highest amount of compression of the spring. Assume there is no friction. Consider the stiffness of the spring as k = 21 kN/m.The winch on the truck is used to hoist the garbage bin onto the bed of the truck. If the loaded bin has a weight of 7500 lb and center of gravity at G, determine the force in the cable needed to begin the lift. The coefficients of static friction at A and B are μA = 0.32 and μB = 0.28, respectively. Neglect the height of the support at A.
- The homogeneous box has mass m. The magnitude of force P is slowly increased until motion occurs. Motion could occur as slipping or tipping and you must decide which occurs first. Find the value of P which first causes motion.The 75-lb boy stands on the beam and pulls on the cord with a force large enough to just cause him to slip. If the coefficient of static friction between his shoes and the beam is (μs)D = 0.35, determine the following reactions if the beam is uniform and has a weight of 120 lb. Neglect the size of the pulleys and the thickness of the beam. 1 The magnitude of the vertical component reaction at A is Blank 1 lb. 2 The magnitude of the horizontal component reaction at B is Blank 2 lb. 3 The magnitude of the vertical component reaction at B is Blank 3 lb.The mine car and its contents have a total mass of 7.1 Mg and a center of gravity at G . If the coefficient of static friction between the wheels and the tracks is μs = 0.34 when the wheels are locked, find the following: 1 The normal force acting on the front wheels at B is Blank 1 kN when the brakes at both A and B are locked. 2 The normal force acting on the rear wheels at A is Blank 2 kN when the brakes at both A and B are locked. 3 The friction force acting on the front wheels at B is Blank 3 kN when the brakes at both A and B are locked. 4 The friction force acting on the rear wheels at A is Blank 4 kN when the brakes at both A and B are locked. 5 With the given information above, does the car move? Answer with Yes or No only. Blank 5