6. The 35-kg child is sliding down the spiral slide at a constant speed such that their position, measured from the top of the chute, has components r= 1.5 m, 0 = (0.7t) rad, and z = (-0.4t) m, where t is in seconds. Determine the components of force F, Fg, F, which the slide exerts on the child at the instant t = 2 s. Neglect the size of the child. = 1.5 m
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- 1. An object (8 kg) was given a kick at the bottom of an incline (20°) and it started with a velocity of 6 m/s. The coefficient of kinetic friction between the object and the surface is 0.2. (a) Draw following 4 FBDs that show the forces acting on the object as the object slows on the ramp. (i) Actual FBD (ii) FBD with components (iii) y-FBD (iv) x-FBD (b) What is the magnitude of the normal force? (c) What is the magnitude of the frictional force experienced by the object? (d) What is the net force acting on the object as it slides up the ramp? (e) What is the acceleration of the object as it slides up the ramp?6. An object with mass 2 kg is suspended from two points on the ceiling 15cm apart by two strings of length 8cm and 10cm. Find the tension in the string labeled t... 15 cm 8 cm 10 cm 2 kg2. Block A has a mass of 6.00 kg. Block B has a mass of 5.00 kg. The coefficients of friction between two blocks are us= 0.400 and uk = 0.200. The coefficients of friction between the blocks and the ramp are us=0.500 and μ = 0.300. The ramp is angled at 15.0° above the horizontal. 4 B The man pulls the blocks up the incline. What is the largest force he can pull with if he doesn't want the top block to slip?
- Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.2. A 110 g hockey puck sent sliding over ice is stopped in 15 m by the frictional force on it from the ice. (a) If its initial speed is 6.0 m/s, what is the magnitude of the frictional force? (b) What is the coefficient of friction between the puck and the ice?5. A box of mass m = 5kg is sliding with constant velocity down an incline that makes an angle of 0 = 30° with the horizontal. The coefficient of static friction is s = 0.75 and the coefficient of kinetic friction is μ = 0.5. What is the magnitude of the friction?
- 5. A 3.00 kg mass is initially at rest at the bottom of an incline of 35.0°. An applied force begins acting on the mass, pushing it up the incline with a constant force of 25.0 N, directed parallel to the incline. a) If the acceleration produced is 2.50 m/s? up the incline, what must the coefficient of kinetic friction be? b) If the applied force acts for 2.00 s, how far up the incline will the mass travel upon coming to rest? Measure this from where the applied force starts acting to where the mass comes to a stop.1. In the system shown in the figure, m₁ = 18.3 kg, m₂ = 38.2 kg, a = 48.2°, and the coefficient of kinetic friction between the block with mass m₁ and the inclined surface is uk. What coefficient of friction is needed for the hanging block to drop 9.45 m in the first 2.50 s after the system is released from rest? (Hint: it is accelerating downward, so don't treat it like it is moving at a constant speed.) m₁ α m₂5. When a force of magnitude 9.00 N and angle 55.0° above the horizontal is applied to an object, the object is observed to slide along a horizontal surface at a constant speed. The coefficient of kinetic friction between the object and surface is = 0.0550. (a) Draw a free-body diagram for this situation. Label all forces and relevant infor- mation. (b) What is the mass of the object? Take g = 9.81 m/s² and show all your work 55° L
- 4. The 100-kg crate is subjected to the forces shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Hk = 0.2. 500 N 400 N 30° 45°2-3.7. Referring to Fig. P-2-3.7, determine the components of force P along the X-Y axes which are parallel and perpendicular to the incline. Hlint: First determine the horizontal and vertical components of the force and then combine the parallel and perpendicular effects of these components. P, = 120 lb; P, = 132 lb/ %3D Ans5. Consider a box with a mass of 10 kg on a rough, horizontal surface. Again all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F is applied on the box at an angle of 0 measured counterclockwise with respect to the x axis. (a) Assume that the magnitude of F is 10 N, 0 = 45°, and the box is at rest. Draw the free-body diagram of the box. Show the numerical value of each force. (b) Let us assume that with the conditions given in (a), the box is just about to slip. Calculate the coefficient of static friction. (c) Now assume that the magnitude of F remains 10 N, but 0 = 30°. Will the box slip? Show your steps/Explain your answer.