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- A ball is shot at high speed into a frictionless channel that is in the shape of a segment of a circle with center at O.The channel is frictionless and sits on a horizontal table top.The figure shown is the top view.Which of the following force(s) are acting on the ball when it is within the frictionless channel at position B? Explain your answers.Check all that apply.1- A downward force of gravity.2- A force pointing from O to B.3- A force in the direction of motion.4- A force pointing from B to O.In a Porter governor, the upper and lower arms are each 250 mm long and are pivoted on the axis ofrotation. The mass of each rotating ball is 3 kg and the mass of the sleeve is 20 kg. The sleeve is in itslowest position when the arms are inclined at 30° to the governor axis. The lift of the sleeve is 36 mm.Find the force of friction at the sleeve, if the speed at the moment it rises from the lowest position isequal to the speed at the moment it falls from the highest position. Also, find the range of speed of thegovernor. [Ans. 9.8 N ; 16 r.p.m.]Calculate the expected acceleration (Eq. 2) and the experimental acceleration (Eq. 3). This hanging mass will supply the unbalanced (net) force acting on the cart. The track is assumed to be frictionless, so the only force present is that from the hanging mass. m1 (hanging mass), m2 (cart).
- 1. A wheel tractor has a 200 HP engine. Calculate the available rimpull of this tractorif it is operating at an altitude of 1,000 m. above sea level, at an averagetemperature of 25oC, and at an average speed of 12 km/hr. Take rimpull efficiencyas 85%.2. The weight of the wheel tractor in Problem 1 is 30 tons and the weight on the drivingwheels is 50% of this weight. What is the maximum available rimpull if thecoefficient of traction is 0.25?3. What is the maximum grade that the tractor in Problems 1 and 2 can climb if it ismoving on a surface with a rolling resistance of 150 kg/ton?4. Assume that the tractor in Problems 1, 2, and 3 is moving down a 8% grade. Howmany minutes are necessary to accelerate to the average speed of 5 km/hr in firstgear? Use a rimpull reduction factor of 75% in your calculations.In a modified version of the cart and bucket, the angle of the slope is alpha = 34.9∘ and the bucket weighs 295 N. The cart moves up the incline and the bucket moves downward, both at constant speed. The cable has negligible mass, and there is no friction. What is the weight of the cart?What is the tension in the cable?The angle of the slope 23.0∘ and use a different cart and a different bucket. You observe that the cart and bucket remain at rest when released and that the tension in the cable of negligible mass is 175 N. There is no friction. What is the weight of the cart? What is the combined weight of the cart and bucket?
- Find the angle of banking for a highway curve of 300-ftradius designed to accommodate cars travelling at speed ofup to 120 mph, if the coefficient of friction between thetires and the road is 0.60. What is theminimum speed in miles per hour (mph) at which a carcan round the curve without slipping?Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?A rod with uniform weight of 2 lb/ft is pinned at one end and is rotated to form a conical pendulum. If it has a length of 4 ft and is rotated to maintain an inclination of 30 degrees with the vertical, compute for the value of the centrifugal force, angular velocity of the rod, and the velocity of the free end of the rod.
- In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.A man pulls up box of mass 70kg using an inclined plane of effective length 5m onto a platform 2.5m high at uniform speed. If the frictional force between the box and the plan is 100N draw the diagram of all the forces acting on the box when in motion and calculate the (a) minimum effort applied in pulling up the box (b) velocity ratio of the plane (c) machanical advantage of the planeMason is is trying to keep a door open using a door stopper. That door is solid, and it has a mass of 18.3kg. The door closer is connected 26.2cm away from the hinge, and pulls with a force of 123N. The door stopper provides a static friction force of 13.2N, and a kinetic friction force off 11.8N. Find the angular acceleration (as a vector) of the door.