In the diagram below, a force P of 750 N is applied to the 350 kg block. Find the acceleration of the block and the reaction forces at contact points A and B if the coefficient of kinetic friction between the block and surface is 0.15. 700 mm 700 mm 300 mm 300 mm 400 mm 500 mm
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- A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?
- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position Note X is the student roll no. for example if the student roll no is A20 then X=20A box with mass m = 2.75 kg rests on the top of a table. The coefficient of static friction between the box and the table is μs = 0.71 and the coefficient of kinetic friction is μk = 0.34. Write an expression for Fm the minimum force required to produce movement of the box on the top of the table. Solve numerically for the magnitude of the force Fm in Newtons. Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) Solve numerically for the acceleration, a in m/s2.Q1. m-1 kg m,=4 kg The mechanism set up with m,, m, and weightless pulleys is as shown in the figure. Then, the masses are released. Static and kinetic friction between the inclined plane and m, are 0.6 and 0.5 respectively. What are the accelerations of m, and m,? (g = 10 m / s². Frictions and mass of the pulley are ignored.) Q2. 300 m/s .*........ yatay 100 m/s 320 m x=? A plane is flying horizontally at an altitude of 320 m with 300 m/s speed. It launches its bomb with 100 m/s speed relative to the plane as shown. How many meters away from the castle should the plane launch its bomb to hit the castle. (g=10 m/s², sin370=0.6; cos37°=0.8) Q3. 2 kg The object in the frictionless cone in the figure is making a uniform circular motion. Calculate, a) the normal force that the cone exerts on the object, b) centripetal force applied to the body, c) Find the speed of the object.
- A block of wood of mass 20 kg is supported as shown in the diagram. If the string suspending the 10 kg mass and connected to the 20 kg mass is light and inextensible and the coefficient of friction, u between the mass and the plane is 0.3 neglecting friction in the pulley (i) Compute the acceleration of the block. (ii) Determine the tension in the rope. 20 kg 10 kg 30°A 3.9-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 27°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 179 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 600 mm/s. Determine the necessary minimum gripping force P if the coefficient of static friction between the sphere and the gripping surfaces is 0.46. Compare P with the minimum gripping force P required to hold the sphere in static equilibrium in the 27° position. 2.0 m Answers: P= Ps= i Z Z N NDetermine the force P that will give the body shown in the figure below an acceleration of 6 ft/s^2. The coefficient of kinetic friction is 0.20.
- A 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare P with the minimum gripping force P; required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i 16.92 N P3 = 20.90 NA 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s2 counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare Pwith the minimum gripping force P, required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i P3 = NThe 20-lb block has friction coefficients of μ = 0.4 and = 0.35, with the inclined surface. Find a. the angle where the 10-lb block begins to slide b. the acceleration of the block at the angle where it first slides c. the acceleration of the block at an angle 10° past the angle in b. If you use cartesian coordinates with x-along the slope, the problem is easier. B A