11.Determine the acceleration a. 2 kg, m3 = 4 kg The masses are: m1 = 1 kg, m2 The coefficient of kinetic friction between mass 1 and the incline is %D M1 = 0.4 The coefficient of kinetic friction between mass 2 and the flat section is M2 =0.3
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- If the coefficient of kinetic friction between tires and dry pavement is 0.800, what is the shortest distance in which an automobile can be stopped by locking the brakes when traveling at 25.4 m/s ? Express your answer in meters. 220 = VD ΑΣΦ ? mProblem 2. Consider the system shown in Figure 1 with m,= 12.5 kg, m, = 20.0 kg. Object m, is resting on the floor, and object m, is 4.00 m above the floor when it is released from rest. The pulley axis is frictionless. The cord is light does not stretch, and does not slip on the pulley a. What is the magnitude %3D %3D the acceleration of the object. b. Calculate the time interval required for m, to hit the floorAn automobile is going up a grade of 15 with an initial velocity of 30 m/s. The coefficient of static friction between the tires and the road is 0.7. a) What minimum distance does it take to stop the car? b) What minimum distance would it take to stop the car if it were going down the grade?
- Practice problem with answer key: Answer: (a) 41.2 N, (b) 1.3 s A ball of mass m = 3 kg is attached to a vertical pole by two ropes and moves in a horizontal circle at a constant speed. The tension in the upper rope is 100 N. Each rope is 0.5 m long and makes an angle θ = 60◦ with the pole. (a)Find the tension in the lower rope. (b) Find the time it takes the ball to complete two revolutions.Determine the minimum value of weight W which may be applied without causing the 50-lb block to slip. The coefficient of static friction between the block and the plane is µ; = 0.2, and between the rope and the drum D µ3 = 0.3. W 45°F(t) Force_Crate Known values: Mass of Block 68 kg TT Hs μk 0 0.63 0.53 26° Problem Statement: A crate is initially at rest on a sloped surface, when a force is applied: F(t) where t is in seconds. Answers: When t=44.47 seconds, the crate has not yet started moving. Find the magnitude of the friction force at that time: 317.771 N The direction of the friction force at that time is: down the slope Find the time required for the crate to start moving: Find the crate's speed when t=174.9 s: 9.485 m/s Be sure to include units with your answers. 169.756 S 240+0.2 N,
- 1. The man pushes against the stack of four uniform boxes each weighing 20 lb. If P = 10 lb, determine if the boxes (both individually or as a stack) will slip or tip. The coefficient of static friction between each box is μs = 0.6 and between the floor and the bottom box is μ² = 0.4. P 1.5 ft 1.5 ft 5.5 ft 1.5 ft -2 ft- 1.5 ftA mass m= 10 kg is tied to two ropes making an angle a=50° and B-70° with the vertical. The strings are connected by pulleys to two masses m₁ and m₂. a. Determine the value of the masses m1 and m2, so that the box m is in equilibrium. b. Determine the value of the tensions in the strings.1 This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, T. What is the vertical component of the tension in each cable? Ty %D unit What is the horizontal component of the tension in each cable? Tx unit What is the total tension in each cable? T = unit %3D