A thin metal disk with mass 2.00 * 10-3 kg and radius 2.20 cm is attached at its center to a long fiber. The disk, when twisted and released, oscillates with a period of 1.00 s. Find the torsion constant of the fiber.
Q: A captive James Bond is strapped to a table beneath a huge pendulum made of a 2.0-m-diameter uniform…
A: Speed seems to be the pace at which an item moves along a route in time, whereas velocity is the…
Q: A simple model of carbon dioxide has two oxygen atoms connected by a spring to a carbon atom.…
A: Given: The effective spring constant is k=1.7 kNm. The mass of carbon atom is mc=12 amu. The mass of…
Q: A 4.80 kg block is suspended from a spring with k = 440 N/m. A 58.0 g bullet is fired straight up…
A:
Q: A copper rod (length = 1.83 m, radius= 3.87 x 103 m, Young's modulus 1.1 x 1011 N/m²) hangs down…
A:
Q: The figure shows the displacement of an oscillating object as a function of time. Find the…
A:
Q: You are sitting on a surfboard that is riding up and down on some swells. The board's vertical…
A: Given expression is, y(t)=(1.2m)cos12.0st+π6
Q: A pitcher's forearm moves up and down in simple harmonic motion with an amplitude of 8.77 cm and a…
A: Given Amplitude of the simple harmonic motion is A=8.77 cm=8.77×10-2 m Frequency of motion is given…
Q: Two particles oscillate in simple harmonic motion along a common straight-line segment of length…
A: The equation of harmonic motion is x=Acoswt+ϕ…
Q: A copper rod (length = 2.74 m, radius = 4.72 x 103 m, Young's modulus 1.1 x 1011 N/m²) hangs down…
A: The young modules of the rod is given as, Here L is the length of the rod, A is the area , Y…
Q: simple pendulum with mass m = 1.2 kg and length L = 2.48 m hangs from the ceiling. It is pulled back…
A:
Q: A weight of 45.0 N is suspended from a spring that has a force constant of 220 N/m. The system is…
A:
Q: An aluminum rod whose length is 2.0 m; is held firmly on the ceiling of a workshop perpendicular to…
A: Step 1:To determine the torsional resistance ′k'′ of the rod, we can use the equation for the…
Q: A 136 kg sculpture hangs from a horizontal rod that serves as a pivot about which the sculpture can…
A: For a rigid body oscillating about a pilot then th eperiod of motion is givenby,T=2πImgLwhere, T is…
Q: mass of 8.00 kg connected to a spring of spring constant 220.0 N/m undergoes simple harmonic motion…
A: Spring constant k =220N/mMass of block m = 8kg.Amplitude A= 45cm or 0.45m
Q: A 71 g particle undergoes SHM with an amplitude of 5.8 mm, a maximum acceleration of magnitude 6.0 x…
A: m= 71 gramm=.071 kgAmplitude A=5.8 mmamax= 6×103 msec2a Time period TSinnce…
Q: A physical pendulum composed of a solid sphere with radius R = 0.500 m, is hanged from a ceiling by…
A:
Q: Find the amplitude, period, frequency, and velocity amplitude for the motion of a particle. (a) s= 3…
A:
Q: A particle with a mass of 2.5 x 10-20 kg is oscillating with simple harmonic motion with a period of…
A: To be given that,mass, m=2.5×10-20 kgT=2.4×10-5 svmax=3.4×103 ms
Q: A particle with a mass of 1.8 x 10-20 kg is oscillating with simple harmonic motion with a period of…
A:
Q: 3. An elevator starts from the third floor and moves downward. The v-t graph of a person riding the…
A: We will use Newton's equation of motion to answer the questions. The detailed steps are as follows.
Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…
A:
A thin metal disk with mass 2.00 * 10-3 kg and radius
2.20 cm is attached at its center to a long fiber. The disk,
when twisted and released, oscillates with a period of 1.00 s. Find the
torsion constant of the fiber.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
- An object of mass 0.4 kg at the end of a spring is released at an initial height of h = 0.494 m relative to the equilibrium position, and with initial velocity 1.003 m/s. After it is released, the object oscillates at 2 rad/s. a. Find the amplitude of the oscillation b. Find the phase constant 4, where x(t) = A cos (wt + p) c. What is the acceleration at t=0? d. What is the total energy of the system?A particle of mass 3.00 kg is attached to a spring with a force constant of 300 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 1.00 m. A 9.00-kg object is dropped vertically on top of the 3.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision? m (b) By what factor has the period of the system changed? (c) By how much does the energy of the system change as a result of the collision? (d) Account for the change in energy.Mass = 8.0kg hung from the ceiling Spring constant = 500N/m Stretched 15.7cm from the original position. It is stretched 6.0cm further downwards. The block is released and undergoes simple harmonic motion. What is the initial vertical acceleration of the mass?
- A small object of mass m equal to 0.50 kg is attached to a horizontal spring of constant k equal to 50. N/m and set into simple harmonic motion. Find the magnitude of the angular velocity of the object (rad/s).Help me for part (A) only,To find the torsional constant expression.A 2.50-kg object is attached to a spring with a force constant of 4.50 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15.0 cm to the right of the equilibrium position and set into harmonic motion. After ?1=2.00 s the amplitude has fallen to 7.00 cm due to frictional losses in the oil. Calculate the natural frequency f0 of the system. Calculate the frequency ? of oscillation that will be observed for the motion.
- A 0.250 kg mass is hanging motionless attached to a spring of spring constant 12.0 N/m, one end of which is attached to a rigid support. The mass is pulled down 15.0 cm from its equilibrium position and is given an initial velocity of 1.60 m/s directed toward the equilibrium position. (a) Determine the amplitude of the resulting simple harmonic motion. (b) What is the speed of the mass when it passes through the equilibrium position?A mass of 1.42 Kg is connected to a spring of spring constant 8.71 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.522 m before release and the oscillator moves in air. The oscillation decays to 18.2% of the original amplitude in 58.2 seconds. A=0.241m at 26.38 seconds. b=8.31*10^-2 kg/s. Energy lost = 1.15J a. What would the position of the oscillation be 26.38 seconds after release?The figure shows a uniform rod (length L = 2.36 m, mass = 1.9 kg) suspended from a pivot a distance d = 0.27 m above its center of mass. The angular frequency (in rad/s) for small oscillations is: axis
- A mass is placed on a frictionless, horizontal table. A spring (k=115 N/mk=115 N/m), which can be stretched or compressed, is placed on the table. A 3-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=7.0 cmx=7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t=3.00 st=3.00 s. x(t=3.00 s)=x(t=3.00 s)= Correct cm v(t=3.00 s)=v(t=3.00 s)= Incorrect cm/sAn athlete exerts a tension of 6.00 * 10^2 N on one end of a horizontal rope that has length 50.0 m and mass 2.50 kg. The other end is tied to a post. If she wiggles the rope with period 0.575 s and amplitude 3.00 cm, what are (a) the angular frequency of the oscillation and (b) the average rate at which energy is transferred along the rope?A block-spring system consists of a spring with constant k = 405 N/m attached to a 1.00 kg block on a frictionless surface. The block is pulled 6.10 cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration? (a)amplitude (in m) m (b)angular frequency (in rad/s) rad/s (c)frequency (in Hz) Hz (d)period (in s) s (e)maximum velocity (in m/s) m/s (f)maximum acceleration (in m/s2) m/s2