Related questions
Question
A cat is sleeping on a platform that oscillates from side to
side in
and the force constant of the horizontal spring attached to the platform
that makes it oscillate is 185 N/m. Ignore friction. (a) What is
the frequency of the oscillation? (b) The cat will wake up if the acceleration
of the platform is greater than 1.52 m/s2. What is the maximum
amplitude of oscillation that will allow the cat to stay asleep?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps
Knowledge Booster
Similar questions
- A cart of mass 350 g is placed on a frictionless horizontal air track. A spring having a spring constant of 9.0 N/m is attached between the cart and the left end of the track. The cart is displaced 5.2 cm from its equilibrium position. (a) Find the period at which it oscillates. (b) Find its maximum speed. m/s (c) Find its speed when it is located 2.0 cm from its equilibrium position. m/sarrow_forwardA solid iron cube is attached to spring-like device and is able to oscillate horizontally with negligible friction. Each side of the cube is 1.50 cm long. The cube is initially pulled to a point where it stretches the spring-like device by 2.75 cm where it is held at rest with a horizontal force of 1.45 N. What is the frequency at which it oscillates when it is released? (Assume the density of iron is 7.86 g/cm3.)arrow_forwardA metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the cylinder (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = ± (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? J (h) What is the speed of the cylinder (in m/s) when its position is equal to…arrow_forward
- An object weighing 32 lb stretches a spring 2ft in equilibrium. There is also a damping force with c = 8. The spring is raised 2 ft and thrown upwards with a velocity of 4ft/sec. Determine the mass m and the spring constant k, and give the differential equation describing the harmonic motion of this system. Solve the differential equation to find the displacement y.arrow_forwardA 4.3-kg mass attached to spring with a force constant of 54.0 N/m oscillates on a horizontal, frictionless track. At t = 0, the mass is released from rest at x = 23.0 cm. (That is, the spring is stretched by 23.00 cm.)(a) Determine the frequency of the oscillations.(b) Determine the maximum speed of the mass. Where does the maximum speed occur?(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?(d) Determine the total energy of the oscillating system.(e) Express the displacement as a function of time.arrow_forward3. An elevator starts from the third floor and moves downward. The v-t graph of a person riding the elevator is given below: t₁ = 0.9 s,t₂ = 1.9 s, t3 = 4.5 s, tv = 7.7 s, v = -1.0 m/s Velocity (m/s) (a) Draw FBD for the person riding the elevator for following cases: Speeding Constant moving Time (s) Slowing (b) What is the apparent weight (in N) of a 50.0 kg person when he/she is slowing down? (Use g = 10 N/kg). Speeding Constant moving Slowingarrow_forward
- A 5 kg object is attached to a spring and is oscillating on a horizontal surface. When the object has a speed of 5 m/s, the spring is stretched 0.5 m. The spring constant is 400 N/m. Neglect friction. Find the object's speed when the spring is stretched 0.1 m.arrow_forwardA 0.478 kg body undergoes simple harmonic motion of amplitude 8.08 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?arrow_forwardA 0.110 kg body undergoes simple harmonic motion of amplitude 7.19 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?arrow_forward
- A mass on a spring oscillates with a period of 2.2 s. (a) Where is the mass at t=8.3s if it starts from rest at x=5.0cm at t=0? (b) In what direction is the mass moving at t = 8.3 s? (c) What is the speed of the mass at t=8.3s?arrow_forwardA spring is compressed by 0.0610 m and is used to launch an object horizontally with a speed of 2.80 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?arrow_forwardA cat is sleeping on a platform that oscillates from side to side in SHM. The combined mass of the cat and platform is 5.00 kg, and the force constant of the horizontal spring attached to the platform that makes it oscillate is 185 N/m. Ignore friction. (a) What is the frequency of the oscillation? (b) The cat will wake up if the acceleration of the platform is greater than 1.52 m/s^2. What is the maximum amplitude of oscillation that will allow the cat to stay asleep?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios