A 192 g block is launched by compressing a spring of constant k-200N/m a distance of 15 cm The spring is mounted horizontally, and the surface directly under it is frictionless. But beyond the equilibrium position of the spring end, the surface has coefficient of friction u= 0.27. This frictional surface extends 85 cm, followed by a frictionless curved rise, as shown in the figure.(Figure 1) Part A After launch Express yo-
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- Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.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= ?A 20 kg block is held in place on an incline plane as shown by a rope that passesover a frictionless pulley at B and then over a fixed cylinder at C where thecoefficient between the rope and the fixed cylinder is 0.2. Given an angle ofincline, A = 25°, if a force of P = 200 V is applied to the end of the rope,(a) Will the block move if the coefficient of static friction between the block and theinclined surface is M, = 0.56?(b)If impending motion exists, will the block tip or slip?
- 1. If there is no friction between shaft AB and the collar, what angular velocity θ˙˙ must the mechanism have to keep the collar at r=300 mm from the vertical axis? Express your answer to three significant figures. 2. Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of μs=0.297. What is the minimum angular velocity required to keep the collar at a constant distance r=300 mm from the axis of rotation? Express your answer to three significant figures.Consider the system shown below. The incline plane is fixed and the coefficient kinetic friction between M and 2M is ?1, and coefficient kinetic friction between the plane and 2M is ?2. Let M=2.0kg, ?=22o, ?1=0.14, and ?2=0.25. (a) What is the magnitude of the frictional force on mass M? (b) What is the magnitude of the total frictional force on mass 2M? (c) What is the acceleration of mass M? (d) What is the acceleration of mass 2M?A pile-driver hammer has a mass of 300 kg and is to be raised 16 m in 4 sec. The total friction on the guides is constant at 400 N. What constant pull must be exerted on the cable?
- A block weighing 2.50 kg begins its motion from a stationary position at point A, located at the highest point of a frictionless ramp. The ramp is inclined at an angle of 40° relative to the horizontal and has a length of 1.50 m. As the block slides down the ramp, it reaches a region between point B and point C, which is a rough horizontal surface with a kinetic friction coefficient of 0.30. After covering a distance of 1.00 m on the horizontal surface, the block encounters a lightweight spring with a spring constant of 900 N/m. A. Find the total energy for point A and point B? B. Find the speed of the block at point B? C. What is the cumulative work performed on the block as it moves along the rough horizontal surface? D. By employing the work-energy theorem, determine the velocity of the block at point C just before it collides with the spring?PROBLEM: To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction parallel to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. If the weight of the box w= 20.0 N, the angle made by the incline with the horizontal θ=25o, and the coefficient of static friction µs=0.16, who has the easier job?A 150 lb man can climb up15 ft on a 20 ft ladder before it slips. What must the coefficient of friction be if the ladder is arranged so that its base makes an angle of 50 ̊ with the ground? Assume the ladder to be uniform and weighing 100 lb.
- Assume that there are no frictional forces between the pulleys and the strings, and the strings are mass-less. The frictional coefficient between the1 kg and 2 kg is 0.05, the frictional coefficient between the 2 kg and 5 kg is 0.1, and the frictional coefficient between the 5 kg and the table is 0.2. (a) Draw free-body diagrams for each mass? (b) Calculate the magnitudes of normal forces and frictional forces?(c) If we release 4 kg and 3 kg from rest what are the accelerations of each mass? (System has two different accelerations)(d) Calculate the tensions in each string?To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle): a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95. b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed? c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed? e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route. Please add the free body diagram.Fred pushes a 55 kg refrigerator with a force P = 100 N inclined at 30° from the horizontal at 1.60 m from the floor as shown in the diagram. The coefficient of static friction between the floor and the refrigerator is 0.40.1. Which among the choices shows the limiting value of the frictional force between the refrigerator and the floor?A) 90.9 NB) 195.8 NC) 108.8 ND) 490 N2. Is the refrigerator not moving, moving, or on the verge of moving? Prove this through calculations.3) Write the correct moment equilibrium equation about A for the refrigerator. (Just use P, don't use P =100)