A 30-g tire-balance weight is attached to a vertical surface of the wheel rim by means of an adhesive backing. The tire-wheel unit is then given a final test on the tire-balance machine. If the adhesive can support a maximum shear force of 80 N, deter- mine the maximum rotational speed N for which the weight remains fixed to the wheel. Assume very gradual speed changes.
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- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) 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 position Note X is the student roll no. for example if the student roll no is A20 then X=20consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?A 15-kg uniform disk is placed in contact with the ground and a constant couple moment M = 32 N.m is applied to it as shown. The weight of link AB is negligible. If the coefficient of kinetic friction at D is 0.3, find the angular acceleration of the disk. write the answer in rad/s? but do not write the units. R = 0.25 m A Taylor Answer:
- The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 43-lb roller and the floor is Hs = 0.21, and the force Pis maximum so that the roller is about to slip, determine the angular acceleration of the roller (in rad/s?). Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s?. 1.5 ft 30°3/72 The small object is placed on the inner surface of the conical dish at the radius shown. If the coefficient of static friction between the object and the conical sur- face is 0.30, for what range of angular velocities w about the vertical axis will the block remain on the dish without slipping? Assume that speed changes are made slowly so that any angular acceleration may be neglected. (0 0.2 m m 30° CamScanner Lino izowallA 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare P with the minimum gripping force P; required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i 16.92 N P3 = 20.90 N
- A 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s2 counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare Pwith the minimum gripping force P, required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i P3 = NThe crank AB rotates in the vertical plane with a constant clockwise angular velocity w0 . For the position shown calculate the force under the light roller C of the 10-kg slender bar BC w0=4.2 rad/s. Solve correctly please.The 20-lb block has friction coefficients of μ = 0.4 and = 0.35, with the inclined surface. Find a. the angle where the 10-lb block begins to slide b. the acceleration of the block at the angle where it first slides c. the acceleration of the block at an angle 10° past the angle in b. If you use cartesian coordinates with x-along the slope, the problem is easier. B A
- 3 - The sliding glass door rolls on the two small lower wheels ( A ) and (B ). Under normal conditions the 40 upper wheels don't touch their horizontal guide . a - compute the force ( P) required to slide the door at a steady speed if the wheel ( A ) becomes P " frozen " and does not turn in its bearing. b - Rework the problem if wheel ( B ) becomes " frozen " instead of wheel (A). if the coefficient 40 of friction between a frozen A 28" wheel and supporting surface is ( 0.3 ), and the center of mass of the ( 140 N ) door is at its geometric center. Neglect the small diameters of the wheel 44 برعاية المحتوی II >A man pushes bar CD to either initiate uphill motion of the homogeneous spool or to just keep the homogeneous spool from moving downhill. The spool has mass M = 78 kg. If slippage first occurs at B, calculate the smallest force P in N that the man must apply to the bar CD to initiate uphill motion of the spool and If slippage first occurs at A, calculate the smallest force P in N that the man must apply to the bar CD to initiate uphill motion of the spool.A box with mass m = 2.75 kg rests on the top of a table. The coefficient of static friction between the box and the table is μs = 0.71 and the coefficient of kinetic friction is μk = 0.34. Write an expression for Fm the minimum force required to produce movement of the box on the top of the table. Solve numerically for the magnitude of the force Fm in Newtons. Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) Solve numerically for the acceleration, a in m/s2.