Consider a particle of mass m attached to two identical springs each of length 1 and spring constant k. The equilibrium configuration is the one where the springs are unstretched. There are no other external forces on the system. If the particle is given a small displacement along the x-axis then degree of freedom of the system is
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- A mass of m = 0.500 kg slides across a horizontal frictionless counter with a speed vo= 0.300 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. ୪୪୪୩ d O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction Physics Principles (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? C C -VO Weight, Normal Force, Spring Force Weight, Normal Force Normal, Spring Force Weight, Friction mTwo identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram. (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ. (b) By how much is spring A stretched, in meters?A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 . State the forces that act on the basket. Draw a force diagram showing them, defining the symbols that you use to represent the forces and marking the sizes of the angles to show the directions of the forces. Take the unit vector i to point up the slope and the unit vector j to point upwards and perpendicular to the slope. Add these unit vectors to your force diagram.
- A block weighing 14.0 N can slide without friction on an inclined plane at an angle of 40.0 degrees. At one end of the beam is attached a light spring which has a length when not stretched of 0.450 m and a spring constant of 120 N / m. determine the equation of motion of the block by taking the xy coordinates (horizontal x and y vertical)!A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero. hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?
- There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN FfHere we have a block of mass (m=2.50kg) resting on a place inclined at an angle of ø=30° to the horizontal. The coefficient of static friction between the block and the plane is Ustatic = 0.135 and the block is stationary but just on the point of sliding up the slope. The diagram shows the four forces acting on the block: an applied force F1 acting up the slope, the block's weight mg, the normal reaction force N and the force of static friction, Ff. In this case, the force of static friction acts down the slope, opposing the tendency of the block to move up the slope. Find the the maximum magnitude of the applied force F1 that can be exerted if the block is to remain stationary.Solve D,E, F