A 600 Ib wheel with a diameter of 30 inches rolls without slipping down a plane inclined at an angle of 25° with the horizontal. Determine the friction force F and the acceleration of the mass center.
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- Suppose a 30 lb truck wheel 18 in. in diameter has a radius of gyration of 4 in. and the 6120 lb truck’s weight is distributed equally to each of the four wheels.a. If the truck can supply 150 lb x ft of torque to each wheel, how fast would the wheel want to accelerate if it didn’t slip? b. What would the coefficient of friction have to be in order to keep the wheel from slippingA single cylinder horizontal engine runs at 120 r.p.m. The length of stroke is 400 mm. The mass of the revolving parts assumed concentrated at the crank pin is 100 kg and mass of the reciprocating parts is 150 kg. Determine the magnitude of the balancing mass required to be placed opposite to the crank at a radius of 150mm which is equivalent to all the revolving and 2/3rd of the reciprocat- ing masses. If the crank turns 30° from the inner dead centre, find the magnitude of the unbalanced force due to the balancing mass.A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating parts 50 kg. Mass of revolving parts at 150 mm radius 37 kg. If two fourth of the reciprocating parts and all the revolving parts are to be balanced, find (i) The balance mass required at 400 mm radius (ii) The residual unbalanced force when the crank has rotated 45° TDC.
- A Cord Is Attached To A Spool When A Force P Is Applied To The Cord As Shown. Assuming The Spool Rolls Without Slipping, what direction does the spool move in each case? left, right or it will not move?A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.A solid sphere weighing 100lbs and with a radius of 2.5’ rolls without slipping down a plane inclined at 24o with horizontal. Determine the minimum coefficient of static friction to prevent the body from slipping. What will be the acceleration also of the center of the sphere?
- In the old-fashioned printing press of Fig. square-threaded screw is used to press the paper against the type bed. The single-threaded screw has a mean radius of 20 mm and a lead of 100 mm. The coefficient of friction is 0.15, and the clamping force necessary to guarantee clear printing on all parts of the paper is 400 N. Determine the twisting moment necessary to operate the press and whether or not a moment must be applied to release the press. PConsider 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?Q) A SINGLE CYLINDER HORIZONTAL ENGINE RUNS AT 12O R.P.M. THE LENGTH OF STROKE IS 400 MM. THE MASS OF THE REVOLVING PARTS ASSUMED CONCENTRATED AT THE CRANK PIN IS 100 KG AND MASS OF RECIPROCATING PARTS IS 150 KG. DETERMINE THE MAGNITUDE OF THE BALANCING MASS REQUIRED TO BE PLACED OPPOSITE TO THE CRANK AT A RADIUS OF 150 MM WHICH IS EQUIYALENT TO ALL THE REVOLVING AND 2/3RD OF THE RECIPROCATING MASSES. F THE CRANK TURNS 80° FROM THE INNER DEAD CENTRE, FIND THE MAGNITUDE OF THE UNBALANCED FORCE DUE TO THE BALANCING MASS.
- Q. An engine flywheel has mass of 6.5 tonnes, and the radius of gyration is 2 m. If the maximum and minimum speeds are 120 r.p.m and 118 r.p.m respectively, find the maximum fluctuation of energy.The mass of the A gear is 10 kg and the turning radius is 200 mm. Of gear Bits mass is 3kg and the turning radius is 80 mm. When the system is stationary to gear B. Moment of 6 N.m is applied. By neglecting friction; a) The time elapsed until the angular velocity of gear B reaches 600 rpm.b) Find the tangential force from gear B to gear A.The mass of flywheel of an engine is 8 tonnes and the radius of gyration is 1.8 metres. It is found from the turning moment diagram that the fluctuation of energy is 100 kN-m. If the mean speed of the engine is 150 r.p.m., find the maximum and minimum speeds.