Estimate the rolling resistance force (Fr) for a truck with a mass (M) of 41000kg on a flat asphalt road with a rolling frictional coefficient of 0.033. Assume gravity = g = 9.81 m/sec squared
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- 3 A flat collar bearing has an external diameter which is 1.6 times the intenal diameter. The coefficient of friction is 0.05 and the maximum bearing pressure is 270 kN/cm^2. The axial load is 20 kN and power absorbed due to friction is 30 kW when the shaft rotates at 750 rpm. If the bearing becomes worm so that the bearing presuure is inversly proportional to the radius, the total axial force and the speed of rotation remaining the same as before, calculate (a) the bearing radii (b) the wear constant (c) the number of collars requiredA steel tire, 10 mm thick, 80 mm wide, and 1500.0 mm inside diameter, is heated and shrunk onto a steel wheel 1500.5 mm in diameter. If the coefficient of static friction is 0.30, what torque is required to twist the tire relative to the wheel? Neglect the deformation of the wheel. Use E = 200 GPa.The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the pulley and is attached to a 50-lb weight. The static and kinetic coefficients of friction between the consists of a 4-in.-diameter pulley and the shaft are 0.35 and 0.25, respectively. The weight of the pulley is 2 lb. The rope being pulled makes an angle 8 = 90° with the horizontal. Determine the force necessary to Just start lowering the weight. P
- Q1/ An open belt drive connected two pulleys 120 cm and 50 cm diameter on parallel shafts 4 m apart. The belt weights 0.9 kg/m length and maximum tension in it is not to exceed 2000 N. 0.3. The 120 cm pulley, which is the driver, runs at 200 rpm. Due to belt slip on one of the pulleys, the velocity of the driven shaft is only 450 rpm. Calculate the torque on each of the two shafts and power transmitted.You need to move a cubic crate across a rough floor. You pull the crate horizontally using a rope with force F, as shown in Figure 1. The weight of the crate is 700 lb:, its density is 180 lbm/fts, and the coefficient of static friction between the crate and the floor is 0.57. Write an expression for the maximum static friction force fmax (in lb:) as a function of the mass m of the crate. Use Excel to plot fmax(m). Calculate the average pressure of the crate on the floor, in psi. Calculate the minimum force F necessary for the crate to start moving, in lb;. F Figure 1. Moving a crate on a slope.Please answer and show how you got it You are on an elevator fixed to a wall that can move up and down freely while you pull with a force of 150 N on a massless rope (the orange line in the diagram below) with length L. This rope is connected to one end of a beam with the same length, L, and mass m=20 kg. The left end of the beam is in contact with the same wall the elevator is on and the coefficient of static friction =0.2 between the beam and the wall. See diagram below for a representation of the situation and note that free fall acceleration points directly downward 0 L Part A) Label all the forces acting on the beam and discuss the direction of any torques exerted on the beam about the contact point between the beam and the wall Part B) What is the maximum angle the beam can subtend with respect to the horizontal _m such that it will just begin to slip? Potentially useful trig identities are sin(2x)=2sin(x)cos, sin(180-x)=sin(x), sin(90+x)=cos(x)
- The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the pulley and is attached to a 50-lb weight. The static and kinetic coefficients of friction between the consists of a 4-in.-diameter pulley and the shaft are 0.35 and 0.25, respectively. The weight of the pulley is 2 lb. The rope being pulled makes an angle e = 90° with the horizontal. Determine the force necessary to Lower the weight at a constant speed. PA screw jack has a screw thread, 7.5 cm mean diameter and 1.5 cm pitch. The load on the jack revolves with the screw. The coefficient of friction at the screw threads is 0.05. (1) Find the tangential force to be applied to the jack at 36 cm radius so as to lift a load of 600 N. (2) State whether the jack is self- locking. If it is, find the torque hecessary to lower the load. If not, find the torque which must be applied to keep the load from descending.Q/The layout of a crossed leather belt drive is shown in Fig. below. The belt, transmits 7.5 kW and operates at a velocity of 13 m/s approximately. The coefficient of friction is 0.3 and the permissible tensile stress for the belt material is 1.75 N/mm2. Calculate (i) The diameters of pulleys; (ii) The length of the belt and (iii) Belt tensions on the tight and slack sides. 500 грm 1000 грm d1 d2 -1500 mm-
- An overhung cast iron pulley transmits 7.5 kW at 400 r.p.m. The belt drive is vertical and the angle of wrap may be taken as 180°. Find: (a) Diameter of the pulley. The density of cast iron is 7200 kg/m3. (b) Width of the belt, if the coefficient of friction between the belt and the pulley is 0.25. (c) Diameter of the shaft, if the distance of the pulley centre line from the nearest bearing is 300 mm (d) Dimensions of the key for securing the pulley on to the shaft. (e) Size of the arms six in number. The section of the arms may be taken as elliptical, the major axis being twice the minor axis. The following stresses may be taken for design purposes: Shaft and key: Tension – 80 MPa Shear – 50 MPa : Tension – 2.5 MPa : Tension – 4.5 MPa : Tension – 15 MPa Belt Pulley rim Pulley armsA ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the angle between the ladder and the horizontal is @. The coefficient of static friction between the ladder and the wall and between the ladder and the ground is jistatic = 0.66. The centre of mass of the ladder is halfway along it. For the ladder to be in mechanical equilibrium: Consider torques about the centre of the ladder. In which direction (into or out of the page) does the torque due to each of the 5 forces force act?Write down an equation for the sum of the torques about the centre or mass of the ladder and then use your equation for the torques to derive an expression for tan o in terms of the magnitudes of the forces actingExample 1: A 200 Ib block is at rest on a 30° incline. The coefficient of friction between the block and the incline is 0.20. Compute the value of a horizontal force P that will cause motion to impend up the plane. Given: e = 30° W = 200 pounds (motion) 200# Unknowns: N, P, F 300 30 N