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- B r P F A UBC Engineering Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius of r = rad 0.15 m is rotating at w = 18 - .A servo motor can apply a variable force F, which in its first two seconds of operation is equal to F = 10t N and afterwards is equivalent to a constant force of F = 20 N . If the coefficient of kinetic friction between the braking arm and the wheel is μ= 0.2, determine the time needed for the wheel to come to a full stop. The point of contact P between the wheel and the arm is a distance r = -0.2 + 0.26 ĵ m from point A. The force of the servo motor is applied at exactly half of the horizontal distance to A from the point of contact. Assume the wheel can be treated as a disk and that the braking arm is massless. t =An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m. (a) Find wmin. the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.consider 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 = ?
- The height of the g point is 0.5m, the distance of the rear wheel to theg point is 1.75m, the distance of the front wheel to the g point is 1.8 m, and the car with a mass of 2100kg brakes suddenly while moving at 24v speed. l-Find the friction coefficient between the wheel and the road? 2-Find the way the vehicle takes until it stops?a Dashboard 曲 Events E My Courses This course TWo pulleys of radius 290 Tmm and 190 mm are mounted in an open-belt drive arrangement on two parallel shafts. The pulleys center lines are 0.58 m apart. of 15 stion The big pulley is rotating at 98 rpm and the coefficient of friction between the belt and the pulleys is 0.25 and the tensile force allowed in the belt is 1.2kN. Analyze the belt drive system and calculate: The contact angle at the big pulley: Opig ° (1) The contact angle at the small pulley: 0sm rad ° (2) STm The length of the belt, assuming a negligible thickness: т (3) The torque at the big pulley: Nm, and (1) The torque at the small pulley: Nm (1) The maximum power transmitted through the belt drive system kW (1) If the total mass of the belt is 2.3 kg, assuming a firm grip between pulleys and the belt and the same speed, all other relevant parameters remaining the same as in the statement above, you are required to revisit your analysis with respect to the centrifugal…Equations of Motion: Translation Learning Goal: The car shown has a mass of m= 950 kg and a center of mass tocated at G. The coefficient of static friction between the wheels and the road is 4,-0.220. The dimensions are a = 1.25 m, b= 1.55 m, and c = 0.250 m. Assume the car starts from rest, the wheels do not slip on the road, and that the car experiences constant acceleration. Neglect the mass of the wheels. (Figure 1) Figure 99°F Sunny 4 E -a-b $ R DIF B 96 1 of 1 > T G Part A - Shortest Time to Reach a Given Speed with Rear-Wheel Drive = Determine the shortest time it takes the car to reach a speed of v- 72.0 km/h, starting from rest, if the engine drives only the rear wheels. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) ▷ t = Submit μA Value & t= Value 7 ← ▼ Part B - Shortest Time to Reach a Given Speed with Front-Wheel Drive 8 Determine the shortest time it takes the car to reach a speed of u 72.0 km/h, starting from…
- Vrope B. OD f TA ro Vcart Alternate View of Spool (rope not shown) Known values: Ti TA To 0.75 ft 1.2 ft 1.7 ft 1 8 Problem Statement: A large spool rolls without slip on a cart. The cart's speed is 17 ft/s. A rope, which is wrapped around the spool's hub, is being pulled at a speed of 5 ft/s, as depicted. Determine: The angular velocity of the spool: i计 The velocity vector of point G: The velocity vector of point A: i+ Be sure to include units with your answers.A box is sitting on a flat turntable that is spinning at 1 rpm (top view shown below); the box is r=756 mm away from the axis of rotation O and does not slip at this speed. The coefficients of static and kinetic frictions between the box and the table are 0.76 and 0.10 respectively. If the table starts to accelerate at 10x0.76 rad/s², calculate the critical angular speed of the turntable when the box begins to slip. Give your answer in rpm, rounded to one decimal place. r W,a of Aower shaft running at a steady speed of 175 rev/min driy 8 single-plate friction clutch of external and intern mm respectively. The masses on the countershaft have £ 250 mm and a total mass of 350 kg. The axial spring I 198 450 N, and 4 = 0-3. Assuming uniform acceleration guired to reach full speed from rest, and the work dissipad during that time. (U. Lond.) (Ans. : 99 g
- Ruler of the "Porter" model, with the upper and lower arms of 178 mm each, fixed by a hinge 38 mm away from the center of rotation. The rotating balls have a mass of 1.15 kg each, and the axial weight affecting the bushing is 20 kg. The ruling commotion began =154. Elevation at 280rpm - The joints are at an angle of 30 to the vertical. Assuming that the force of friction is constant, find the minimum and maximum rotational speed when mg The angle of inclination of the arms to the vertical is 45.A cast iron flywheel with mean radius of 250 mm runs at average of 100 rad/s and has a maximum fluctuation of energy ∆KE of 2500 N-m. If the coefficient of fluctuation of speed of 0.01. which of the following is the mass of the flywheel rim? choices: 400 kg 100 kg 25 kg 4 kgA cart (20kg) is supported by 2 wheels (15kg each) on a 30degree incline The wheels have a radius of 100mm and roll without slipping WHat is the acceleration of the cart after its released from rest?