The rack has a mass m = 75 kg. What moment M must be exerted by the gear wheel in order to (a) lower and (b) raise the rack at a slow steady speed on the greased 60° rail? The coefficients of static and kinetic friction are ls = 0.1 and µk motor which drives the gear wheel is not = 0.05. The fixed shown.
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A: We are suppose to solve only one question. Please post other question as a separate question.
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- 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.Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.The disk weighs 267 N and the bar weighs 90 N.The coefficients of friction between the disk andthe inclined surface are μs = 0.9 and μk =0.6. What isthe largest couple M that can be applied to thestationary disk without causing it to start rotating?
- 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 system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?A differential band brake is used to retard a shaft carrying flywheel weighing 3 kN with radius of gyration350 mm. If the brake drum diameter is 250 mm and coefficient of friction is 0.15, determine thefollowing: (i) the braking torque when an effort of 150 N is applied at the end of the lever, (ii) number ofrevolutions of the flywheel before it comes to rest, and (iii) time taken by the flywheel to come to rest.The drum rotates at 500 rpm in clockwise direction and the layout of the brake is as shown in figure.
- The wheel in the figure has a mass of 40 kg and a radius of rotation, in relation to its center of gravity, kG = 250 mm. Whereas there is no slip, determine the work done by the weight after it rotates 90 ° clockwise from illustrated position. The AB spring has a constant stiffness k = 100 N / m and a length in the undisturbed situation of 500 mm. Consider that the wheel is initially at rest.The wheel is subjected to a torque of M 50 N m. If the coefficient of kinetic friction between the band brake and the wheel rim is equal to 0.3, determine the smallest horizontal force P that must be applied to the lever to stop the wheel.Please answer: 3, 4, 5, 6, 8, 9, 10, 12 The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is 0 N m(two decimal places) (ANSWER IS 0) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is 0 N m (two decimal places) (ANSWER IS 0) (3) At state 1, how long the spring is stretched from its unstretched state (length…
- The arms of a Hartnell governor are of equal length. At the mid-position of the sleeve, theball arm is vertical and the radius at which the ball rotates is 10 cm when the equilibriumspeed is 400 RPM. On changing the speed by 1% the governor can overcome the frictionat this position. The friction force is assumed to have a constant value of 20 N at thesleeve. The sleeve moves ± 1.5 cm from the mean position. The minimum speed of thegovernor including friction is 450 rpm. The mass of the sleeve is 3.5 kg. Calculate themagnitude of rotating masses and initial compression ofThe coefficients of static and kinetic friction between the drum and brake bar are μS= 0.4 and μK= 0.3, respectively. If M= 50 N.m and P= 85 N. determine the horizontal and vertical components of reaction at the pin O (shown in Fig. 3). Neglect the weight and thickness of the brake. The drum has a mass of 25 kg.A cube with mass of m=80N is on the inclined plane with angle of phi=20 degrees. coeficient of static friction /mu_s = 0.25 coeficient of dynamic friction /mu_k = 0.15 Determine: what is the smallest size of the force F parallel to the inclined plane, which prevents the cube in the slide? what is the smallest size of the force F, which the cube starts to move along the inclined plane up? At what value of the force F starts the cube to rise at a constant speed?