k m M
Q: The period of oscillation of a spring-and-mass system is 0.640 s and the amplitude is 5.78 cm. What…
A: At maximum extension of spring acceleration of mass is maximum hence, formula of maximum…
Q: A mass of 1.97 kg is placed on a vertical spring. What is the period, in seconds, of a mass-spring…
A: Mass of the object is m=1.97 kg. Spring constant of the spring is k=49.55 N/m Period of…
Q: A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of…
A:
Q: A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless,…
A: a). The time period of a spring-mass system is given by, T = 2πmk Here, m is the mass of the object…
Q: A small ball of mass 25 g is attached to a vertical spring. The ball performs harmonic oscillations…
A:
Q: A wooden block of mass M sits on a flat metal table that can be made to oscillate horizontally in…
A:
Q: The position of an oscillating object (m = 100 g) in m is described by x = 3.50 cos πt, where t is…
A:
Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…
A: frequency f = 1.20 Hz μ, coefficient of static friction=0.63
Q: A mass of 420 g is attached to a vertical spring, causing the spring to stretch a distance d. When…
A: Given:mass of the object, m = 0.420 kgdisplacement caused in spring when m is attached is dWhen mass…
Q: A mass of 8.02 kg is placed on a vertical spring. What is the period, in seconds, of a mass-spring…
A: Write the given values with the suitable variables. m=8.02 kgk=60.62 N/m Here, m is the mass and k…
Q: A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless,…
A: Given, Mass of the glider, m=1.00 kg Spring constant, k=16.0 N/m. At t = 0, the glider is released…
Q: Two blocks oscillate on a frictionless surface, as illustrated in the figure on the right. The…
A:
Q: A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with…
A:
Q: A block is on a horizontal surface which is moving horizontally with a simple harmonic motion of…
A: The displacement of the particle from its equilibrium position is x=xmcosωt+ϕ So, the acceleration…
Q: A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a…
A:
Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…
A: Given,Frequency, f = 1.8 Hzμs, coefficient of static friction = 0.510
Q: A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless,…
A:
Q: A 22 kg mass connected to a spring of force constant 178 N/m oscillates on a horizontal,…
A: According to conservation of energy Kinetic energy +potential energy is constant
Q: A peg on a turntable moves with a constant tangential speed of 0.61 m/s in a circle of radius 0.22…
A: The motion of shadow represents a simple harmonic motion
Q: The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C,…
A: Given, A block performing SHM Equilibrium at C Extreme position is at E
Q: A harmonic oscillator is described by the function x(t) = (0.480 m) cos(0.320t). Find the…
A: Given: x(t) = (0.480 m) cos(0.320t)
Q: A cart of mass 350 g is placed on a frictionless horizontal air track. A spring having a spring…
A:
Q: A mass of 0.7kg Is attached to a relax Spring with K=2.5 n/m. The mass rest on a horizontal…
A: Given: Mass 'm' = 0.7 kg Spring constant 'K' = 2.5 N/m displacement 'x' = 0.33 m
Q: A solid iron cube is attached to spring-like device and is able to oscillate horizontally with…
A: Given , Side of cube ,l= 1.50 cm = 0.015m Cube initially pulled to a point where x= 2.75 cm…
Q: 5.00 kg bob is connected to the ceiling via a light string, while an 8.50 kg uniform rod is also…
A:
Q: A spring oscillator is designed with a mass of 0.288 kg. It operates while immersed in a damping…
A:
Q: Find the amplitude of the motion. Fine the maximum acceleration of the block. Find the maximum…
A: Spring force is conservative force. So, total mechanical energy of the block will be conserved. At…
Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…
A: Condition for block B to not to slip is Frictional Force ≥ maximum Restoring force. Frictional force…
Q: The period of oscillation of a spring-and-mass system is 0.570 s and the amplitude is 4.44 cm. What…
A: Calculate the angular velocity. ω=2πTω=2π0.570 sω=11.023 rad/s
Q: A body with mass of 250 g is attached to the end of a spring that is stretched 25 cm by a force of 9…
A:
Q: A block of mass (3 kg) lays on a frictionless plane and is attached to a horizontal spring with a…
A:
A block with mass M rests on a frictionless surface and
is connected to a horizontal spring of force constant k. The other end
of the spring is attached to a wall (Fig.). A second block with
mass m rests on top of the first block. The coefficient of static friction
between the blocks is ms. Find the maximum amplitude of oscillation
such that the top block will not slip on the bottom block.
Step by step
Solved in 2 steps
- A uniform stick of length L and mass m is pivoted at one of its ends. Derive an equation for the period of oscillation when the stick is set into small oscillation. Answer in terms of m, g, and L as needed.The suspension system of a 2200 kg car is made of springs that are compresses by 8 cm when the mass of the car is placed on it. Also, the collision amplitude decreases by 50% each cycle. Find the damping constant 6 (in units of kg/s) for the spring and shock absorber system of one wheel, assuming each wheel supports 550 kg. 134A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.
- A horizontal spring is attached to mass of 1 kg. The spring constant is 5. The coefficient offriction, f, is unknown. For what values of f will the system be under-damped (oscillatory)?A simple pendulum that consists of a small metal ball attached to a long string oscillating with the amplitude of 10 cm and it moves with a speed of 2.5 m/s through the equillibrium position in the positive x-direction. Determine the length of the string.A 500 g mass is hung from a vertical spring and allowed to come to rest or its equilibrium position. As a result, the spring is stretched by 10 cm. The mass is then pulled down an additional 15 cm and released so that it oscillates in a SHM. Find the amplitude and frequency of the SHM and write down the equation of the position as a function of time.
- A 1000 kg car carrying four 80 kg persons is traveling over “washboard" speed bumps spaced at regular intervals. The bumps are located 4 m apart. The car is observed to bounce with maximum amplitude when its speed is 16 km/h. The car now stops and the four people get out. By how much does the car body rise on its suspension owing to the decrease in weight?A spring oscillator is designed with a mass of 0.103 kg. It operates while immersed in a damping fluid, selected so that the oscillation amplitude decreases to 1.00% of its initial value in 9.19 s. Determine the damping coefficient b of the system.There is a block that is moving along on a wooden plank that moves and follows simple harmonic motion with a frequency of 15 oscillations per minute. In one oscillation, the motion of the center of mass of the object spans 3 m along the x-axis. Please determine the minimum value of the static friction coefficient that stops the block from slipping? Please determine the position, velocity and acceleration of the block 0.5 second after going through the center of the trajectory in the negative x-direction?