Please help with 4a and 4b 4. (8 marks) A spring of natural length L is...
In a hurry to digest this . Tks for the help (thumb up) 2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixed to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
A 10-cm-long spring is attached to theceiling. When a2.0 kg mass is hung from it,the spring stretches to a length of 15 cm. a.What is the spring constant k? b.How long is the spring when a 3.0kg mass is suspended from it?
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass attached to it. When a 0.41 kg mass is hung from the spring the spring stretches to a new equilibrium length of 12 cm. The mass is then pulled downward an additional 5.8 cm from the equilibrium position and released from rest. How fast (in m/s) is the mass moving when it first passes through the original equilibrium position of the spring (the relaxed...
find the general solution (y) using laplace transform (1 point) Consider a spring attached to a 1 kg mass, damping constant 8 = 5, and spring constant k = 6 The initial position of the spring is 4 metres beyond its resting length, and the initial velocity is -9 m/s. After 1 second, a constant force of 12 Newtons is applied to the system for exactly 2 seconds Set up a differential equation for the position of the spring y...
A 12 cm long spring is attached to the ceiling. When a 2.6 kg mass is hung from it, the spring stretches to a length of 17 cm.(a) What is the spring constant k?
A spring is hung vertically, and an object of mass m = 1 kg attached at lower end stretches the spring to position xı= 20 cm. When the mass increases to my =1.5 kg the spring stretches to new position x2 = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x1, X2 , m,,mto find spring constant k and use the value of k to find the...
A spring is hung vertically, and an object of mass m1= 1 kg attached at lower end stretches the spring to position x1= 20 cm. When the mass increases to m2 =1.5 kg the spring stretches to new position x2 = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x1, x2 , m1 ,m2 to find spring constant k and use the value of k to find the period of...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N is applied. A particle with a mass of 0.5 kg rests on a frictionless horizontal surface and is attached to the free end of the spring: The particle is pulled horizontally so that it stretches the spring 5.0 cm and is then released from rest at t 0. (a) What is the force constant of the spring? (b) What are the period, frequency, f,...
C) A 9.0-cm-long spring is attached to the ceiling. When a 1.5 kg mass is hung from it, the spring stretches to a length of 18 cm . - What is the spring constant k? - How long is the spring when a 3.0 kg mass is suspended from it?