Two identical homogeneous 30-pound cylinders are connected with a cable. Calculate the tension in the cable an instant after the cylinders have been released from rest in the position shown in Fig. Assume that friction allows the cylinders to roll without sliding and neglect the weight of the small pulley. 2ft 30 lb 2ft 30 lb B 45°
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- The mechanism shown consists of a crank (bar AB), a connecting rod (bar BC) and the piston C that slides on the smooth surface (without friction). The combustion of gasoline produces a force P on the piston and this is kept in equilibrium with the moment M applied in A. The length of the crank is 116 mm, the length of the connecting rod is 183 mm, the force P is 710 N and the angle theta is 0.56 radians. Determine the value of M in Nm.A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
- In the given picture, a bar with length L and negligible weight is laid on the wall. If the coefficient of friction between the bar and the wall is 0.15, and the friction between the pin C and the bar is negligible. Find the interval for the fraction L/a in which the system is in balance.Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The mechanism shows two identical 2-kg bars that are 0.15 m long each. They are hinged together at the lower ends and are supported at the upper ends by small rollers of negligible mass which roll on a horizontal rail. Determine the steady state angle θ assumed by the bars when they are accelerating under the action of a constant horizontal force 375.90 Newtons. Also, find the forces on the rollers at A and B as well as the reactions at the hinge C.A tractor is now drafted in to move the blo ck. The weight of the tractor is equally distributed over all four wheels and it pulls on the blo ck via a rope with tension T. The back wheels have a diameter of 1.6m and the front wheelshave a diameter of 80cm. The tractor motor generates a torque of τ on each of its back wheels that have radii Rb and masses mb. The front wheels of the tractor are smaller than the back wheels and have radii Rf and masses mf. Both sets of wheels can b e treated as uniform solid disks with moment ofinertia I = 1/2mR2. The mass of the tractor body, without the wheels, is M. If the wheels don't slip, show that the tractor can accelerate the block with an acceleration of (see image)
- Two wheels weighing “W” kN and 40 kN, respectively are connected by a rod of negligible weight and are free to roll on the smooth planes as shown. What is the force of the rod in kN? Determine the magnitude of W in kN so that the rod will be horizontal when the system is in equilibrium.3) The cart shown below weighs 45o lb (weight located at CG, at geometric center of cart). If the wheels are locked, and the coefficient of static friction between the wheels and the ground is o.4 (), will the cart slide down the hill? Yes/No: 8 ft 3 ft CG 1 ft 6 ft 15The figure below shows a cylinder, which is rotating in clockwise direction. A lever is pushing onto the cylinder, thus exerting a braking torque. The lever itself is loaded by a force FE . a) Draw the free-body diagram of the lever, determine the direction of the kinetic friction force.
- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) 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 positionGiven the figure shown below, what is the mass of block B on the smooth incline if the system is in static equilibrium? A rope runs from block B up around the frictionless pulley at A down to a 10 kg counterweight. A 1 m В 1 m 10 kg 45°The 20 kg symmetrical barrel whose radius is 1m shown in the figure is positioned at rest on the 35 deg. inclined plane by a weight B suspended from a cable wrapped around the barrel. If slipping impends, find B and the coefficient of friction.