Please solve both
1 point) A brick of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spri...
I've got parts a-c and understand them. However, I do not understand the rest of the problem and how to solve for the answers in parts d and e. Any explanation would be helpful. (1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 8 N when the speed of the mass...
Please solve the problem below. I would really like to see work shown so I can understand the concepts and the things I am doing incorrectly. |(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring constant K Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A 50 g mass hanger hangs motionless from a partially stretched spring. When a 50 gram mass is added to the hanger, the spring stretch increases by 9 cm. What is the spring constant of the spring (in N/m)? (Assume g = 9.79 m/s2.) Never include units with your answer.
Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged vertically. Suppose that the mass is given an addition 6 cm displacement downward and then released (at time 0), and an external force of 4-3 cos(t) N at all time (starting at time 0). In addition, suppose that the mass is in a medium that exerts viscous resistance of 3 N when the mass has a velocity of 0.4 m/s. Assume acceleration due to...
A single mass (m1 = 4.4 kg) hangs from a spring in a motionless elevator. The spring constant is k = 270 N/m. 1) What is the distance the spring is stretched from its unstretched length? 2) Now, three masses (m1 = 4.4 kg, m2 = 13.2 kg and m3 = 8.8) hang from three identical springs in a motionless elevator. The springs all have the same spring constant given above. What is the magnitude of the force the bottom spring exerts on the...
5. Use the same mass, damping coefficient, and spring constant as in #4. a. The mass is pulled down 5 cm from rest and just released. Determine the IVP describing the motion of the mass. (6 pts) b. Solve the resulting DE from part a. (6 pts) c. Sketch the graph of the motion. (4 pts) 6 6.Again use the same mass, damping coefficient, and spring constant as in 4. a. Now the mass is pulled down 5 cm from...
A single mass m1 = 3.5 kg hangs from a spring in a motionless elevator. The spring is extended x = 15 cm from its unstretched length. 1) What is the spring constant of the spring? Now, three masses m1 = 3.5 kg, m2 = 10.5 kg and m3 = 7 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above. What is the force the top...
A block of mass mmm= 3.00 kg is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance hhh= 8.00 cm from its equilibrium length. (Figure 1)The spring has an unknown spring constant k. Take the acceleration due to gravity to be g = 9.81 m/s2m/s2 . Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting frequency...
A mass hanging from a spring with constant k = 34 immersed in a fluid providing a dampening of c = 6 is released from rest from position y = 2 at time t = 0. Write the differential equation describing the system and solve the IVP. Assume standard SI units.