A bumper jack, used to raise the wheel of an auto- mobile in order to change a tire, is shown in Fig. The mean diameter of the screw is 30 mm, and the pitch of the screw is 6 mm. The coefficient of friction between the screw and the nut is 0.30. Determine the force which must be applied to the crank in order to Lower the automobile. 200 mm 3 kN
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- The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.The test specimen AB is placed in the grip of a tension-testing machine and secured with a wedge. The coefficient of static friction at both surfaces of the specimen is s. If the wedge angle is =18, determine the smallest s for which the grip is self-locking (no slipping takes place regardless of the magnitude of the force P). Neglect the weight of the wedge.
- A wedge is used to prop up the 6000-lb block of marble. The wedge angle is =30, and the angle of static friction is s=12 between all contact surfaces. Determine the smallest force P that would prevent the wedge from sliding out.Determine the smallest horizontal force P that must be applied to block B to cause impending motion. The angles of static friction are 15 between the blocks and 30 between the blocks and the ground.The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.
- 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.The brake pads at C and D are pressed against the cylinder by the spring BF. The coefficient of static friction between each pad and the cylinder is 0.15. Find the smallest tension in the spring that would prevent the cylinder from rotating when the clockwise couple M=2200lbin. is applied. Neglect the weights of the members.The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.
- The screw of the clamp has a square thread of pitch 0.16 in. and a mean diameter of 0.6 in. The coefficient of static friction between the threads is 0.4. Determine (a) the torque C0 that must be applied to the screw in order to produce a 28-lb clamping force at A; and (b) the torque required to loosen the clamp.A 200 lb block is in contact with a plane inclined at 30 degrees to the horizontal. A force P, parallel to and acting up the plane, is applied to the body. If the coefficient of static friction is 0.20, find: a. the value of P to just cause the motion to impend up the plane b. the value of P just to prevent motion down the plane c. the magnitude and direction of the friction force F if P= 80 lbsProblem 4. A.) If the uniform concrete block has a mass of 500 kg, determine the smallest horizontal force P needed to movethe wedge to the left. The coefficient of static friction between the wedge and the concrete and the wedge and the floor is 0.3. The coefficient of static friction between the concrete and floor is 0.5.ANSWER: P=1797.52; N=1.80kNB.)Refer to problem number 4. Calculate the followinga.) the angle of friction between the wedge and the concrete and the wedge and the floor.Answer: ?????? ??? ????????= ?????? ??? ?????= 16.7ob.) the coefficient of static friction between the concrete and floor.Answer: ????????? ??? ?????= 263.56o