View Policies Current Attempt in Progress The homogeneous box has mass m. The magnitude of force P is slowly increased until motion occurs. Motion could occur as slipping or tipping and you must decide which occurs first. Find the value of P which first causes motion. 26° H₂ = 0.53 B Answer: P = 1.6 d mg
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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 =For the problem related to Fundamental.6 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. F The 77-kg man pushes on the 120-kg crate with a horizontal force F. The coefficient of static friction between the man's shoes and the surface is 0.82. What must be the coefficient of kinetic friction between the crate and the surface if we observe an acceleration of the crate of 2.1 m/s²? Type your answer in the cell below.Fnet = ma , Frie, = HkN , x = xo + vozt + ;azt² , vz = Voz + azt , (Va)² = (Voz)² + 2a„Ax Problem 1: Two blocks of mass m1 = 4 kg and m2 = 6 kg are connected by a rope that goes over a frictionless pulley and provides a tension T. m, is accelerating upwards with an acceleration a and m1 is accelerating to the right with an acceleration a. m1 is on a surface that has a kinetic friction coefficient Hk = 0.3. In addition, m1 is being pulled to the right by a force F = 80N that makes an angle 0 = 20° above the horizontal. (a) What is a, the acceleration of the system? (b) What is T, the tension in the rope connecting m1 and m2? а F. g = 9.8 m/sec? T m1 T al m2
- Q/A circular disc of mass m and radius r is Qil 'connected to two springs. If it is free to roll onarough horizoutal surface without_slipping, use energy methad to calculat the System natural Trequency.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 when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?For the problem related to Fundamental.6 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The tractor is used to lift the 50-kg load B with the 27-m long rope, boom, and pulley system. The height h=4-m, SA=15m and sg=1.3m. SB B hm -SA If the tractor travels to the right with an acceleration of 3 m.s2. The maximum of tension of the allowable tension force in the rope is 3-kN. Determine the maximum of the allowable velocity of the tractor.
- The uniform crate shown in the figure weighs 200 lb. It is pulled up the incline by acounterweight W of 400 lb. Find the maximum and minimum values of d so that the crate doesnot tip over as it slides up the incline. Assume that the pulleys are weightless and frictionless.a. Identify the type of motion defined in the problem.b. Set up the equations of motion that is required to solve the problem.c. Solve for the unknown variables by substituting the given in the equations of motionthat has been set up previously.Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.The car shown in the figure below has a mass of 1673 kg. The coefficient of static friction between the rubber tires and the pavement is 0.6. Determine the maximum incline e [degrees] that the car can drive up if it has rear-wheel drive. 0.85 m 1.2 m 1.7 m Answer: 18.87 Calculate the normal reaction force at the rear wheels for the condition of rear-wheel drive in N. Answer:
- For the problem related to Fundamental.o sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The 5-lb collar C fits closely to the smooth shaft. The spring is unstretched when s=0 and its stiffness is 3 lb/ft. AT s=0 ft, the collar is given a velocity of 14ft.s1. The height is 1.5-ft. h www. S с www determine the position of the collar when its velocity is O ft.s¹Vrope 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.F y A → X CC BY UBC Engineering Your team is prototyping a simple braking system for your model car. The 2.2 kg wheel with a radius of rad r = 0.25 m is rotating at w = 5 A servo motor can apply a variable force F, which in its first two seconds of operation is equal to F N. If the coefficient of kinetic friction between the braking arm and the wheel is uk 10t N and afterwards is equivalent to a constant force of F = 20 0.25, determine the time needed for the wheel to come to a full stop. The point of contact P between the wheel and the - 0.2 i + 0.24 j m from point A. The force of the servo motor is applied at arm is a distance r P A 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. B