The 1400 kg coal car with load is being pulled by the weight E as shown in the figure. If the mass of E is 100 kg, determine the corresponding reactions at wheel supports A and B. The wheels are rolling without sliding (i.e. there is no friction force at the wheels). Pulley at D is smooth. 1400 kg 0.4 m 0.6 m
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- The homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical surface at B, and the cable BC. Draw the FBD of the bar and count the unknowns.The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.The homogeneous plate of weight W is supported by a ball-and-socket joint at D and three wires. Draw the FBD of the plate and count the unknowns.
- The 14-kN weight is suspended from a small pulley that is free to roll on the cable. The length of the cable ABC is 20 m. Determine the horizontal force P that would hold the pulley in equilibrium in the position x=5m.The single-plate clutch transmits the torque C from the input shaft on the left to the output shaft on the right. Compression springs between the clutch housing and the pressure plate provide the necessary pressure on the friction surface. The splines prevent the clutch plate from rotating relative to the output shaft. If Ri=4 in. and R0=9 in., determine the total force that must be applied to the pressure plate by the springs if the clutch is to transmit a torque of C=56lbft when it is new.Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.
- the homogeneous cylinder of weight W=100 N rests in a frictionless right angled corner. determine the contact forces NA and NB angle is 30 degreesIf the breaking strength of the cable is 2000N, determine the maximum weight that can be supported. Negligible weight for members and friction Also determine the total reaction at pin C and tension in the cable if W=100 N. Negligible weight of members of friction.Determine the force in the cable OC and the elongation of the spring OA, OB necessary to support a box of mass (M) 400 kg as shown in the figure below. If a = 4 m, b = 5 m, c = 3 m, k1= 5000 N/mm and k2= 4000 N/mm. All calculation using equilibrium of particles equation and must be in Newton (N) and with FBD
- The homogeneous cylinder of weight W = 100N rests in a frictionless right-angled corner. Determinethe contact forces NA and NB if θ = 30°.A six-pack is shaken so that the pressurein each can is p = 20 psi. A board is placed onthe six pack and a student(s) weighing Wstands on the board so his weight is evenlydistributed to the six cans. The aluminumproperties are E = 10,000 ksi, Sy = 35 ksi, andν = 0.33. Each can has an average radius ofR = 1.25 in., thickness t = 0.01 in., and lengthL = 4.50 in.(a) Determine the critical weight of thestudent, Wcr , so that a stress element on thesurface of the can is in a state of uniaxial stress.Assume that no support is provided by thecontained liquid and the cans do not fail bybuckling (being crushed). (b) Determine thestrain in the longitudinal direction of the candue to pressure p = 20 psi and force Wcr.(c) Determine the strain in the hoop directionof the can due to pressure p = 20 psi and forceWcrA35-kg disk rests on an inclined surface for which µs = 0.2. The disk is connected to a beamby pin connection at A and the link is supported by pin at B. The vertical load P is applied onthe link AB at a location as shown in Figure 3 (b) Determine the support reactions at pin A and B