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- Rod AB leans against the wall with a coefficient of static friction, μSB = 0.2. The contact surface at A is smooth (μSA = 0). Find the minimum force P necessary to prevent rod AB from sliding, given:WRod = 40 lbs, L1 = 7 ft, θ = 42 °.A weight of 400 N is dropped through a height of 600 mm onto a closed coil compression spring which instantaneously compresses by 200 mm under the impact. The diameter. of spring wire is 25 mn and mean diameter of coil is 200 mm. Find maximum instantaneous stress produced by impact, and number of coil in spring take G=30 kN/mm¹.A ladder, 8 m long and having a mass of 25 kg, rests on a horizontal floor and is supported by a vertical wall. The ladder is inclined 62°, as shown, and starts to slip when a person having a mass of 73 kg has climbed halfway up it. The coefficient of friction at the wall is 0.20. Assume the weight of the ladder to be concentrated at its midpoint. Calculate the coefficient of friction at the floor. - Draw a free-body diagram - Solve most simple way
- A vertical shaft 25 mm diameter and 0.75 m long is mounted in long bearings and carries a pulleyof mass 10 kg midway between the bearings. The centre of pulley is 0.5 mm from the axis of theshaft. Find (a) the whirling speed, and (b) the bending stress in the shaft, when it is rotating at 1700r.p.m. Neglect the mass of the shaft and E = 200 GN/m2.A 2-m long concrete traffic barrier is used to provide safety for workers, pedestrians, and motorists during highway construction. The concrete has 0.024 N/cm3 specific weight. The interface between the barrier and pavement has static and kinetic coefficients of friction of 0.45 and 0.4, respectively, and h= 45 cm. Determine the force P that will cause motion of the barrier.If spring is found to extend 20mm for each 2kg of mass, the defelaction of spring carrying a mass of 10kg is A)200mm B)1m C)0.1m D)10m
- The driver of the sports car applies his rear brakes and causes the tires to slip. If the normal force on each rear tire is 1800lb and the coefficient of kinetic friction between the tires and the pavement is { { \mu }_{ k }=0.5 }μk=0.5, determine the average shear stress developed by the friction force on the tires. Assume the rubber of the tires is flexible and each tire is filled with an air pressure of 225 kp.Two bodies is connected in point C, are supported by rigid underlay at an angle α. F is the force acting on right body. We are considering the weight of bodies G and the friction between the bodies and the underlay. Length of bodies l=2000mm. G1= 160 N, G2= 180 N, α = 30° Find: 1.) Find the magnitude of the force so that it slips on the underlay 2.) Draw the dependence of the force F as a function of the coefficient of friction f (in the range 0-0.5)The homogenous bar A having a mass of 18 kg is 2 m long and is inclined at 60 degrees with the horizontal plane. The mass M of 7 kg is connected by the rope to the bar. The rope leaving the bar is horizontal. The coefficient of friction between the rope and the drum B is 0.20. What is the minimum coefficient of friction between the bar and the plane for equilibrium? Give solution. (Ans. coefficient of friction = 0.284)
- A 12cm x 16cm air compressor is operated with a maximum pressure of 10 kg/cm2. There are5 bolts with a yield value of 64ksi holding the cylinder head to the compressor. Determine the tensile stress of the bolt.A borehole drilling machine with a vertical shaft of 60 mm diameter is 500 mm long and is supported in long bearings at its top end. The shaft has Youngs modulus of E = 110 GN/m2. A disc of mass 40 kg is attached to the center of the shaft. The center of the disc is 0.25 mm from the geometric axis of the shaft. Neglecting any increase in stiffness due to the attachment of the disc to the shaft, calculate: 1.1. The critical speed of rotation. 1.2. The maximum bending stress when the shaft is rotating at 80% of the criticals peed.The driver of the sports car applies his rear brakes and causes the tires to slip. If the normal force on each rear tire is 1800 N and the coefficient of kinetic friction between the tires and the pavement is { { \mu }_{ k }=0.5 }μk=0.5, determine the average shear stress developed by the friction force on the tires. Assume the rubber of the tires is flexible and each tire is filled with an air pressure of 225 K P