Answered: A bee of mass 1 g lands on the end of a…

A bee of mass 1 g lands on the end of a horizontal twig, which starts to oscillate up and down with a period of 1 s. Treat the twig as a massless spring, and estimate its force constant.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 6CQ: Some people modify cars to be much closer to the ground than when manufactured. Should they install...

See similar textbooks

Similar questions

A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?
A student working on a school project modeled a trampoline as a spring obeying Hookes law and measured the spring constant of a certain trampoline as 4617 N/m. If a child of mass 27.0 kg compresses the trampoline vertically by a maximum of 0.25 m, while bouncing up and down, what is the childs acceleration at the moment of maximum compression?
A bee of mass 1 g lands on the end of a horizontal twig, which starts to osci llate up and down with a period of 1 s. Treat the twig as a massless spring, and estimate its force constant.
A hummingbird of mass 0.16 oz lands on the end of a small horizontal branch, whichsubsequently oscillates up and down with a period of one second. Assuming that the twig is amassless spring. Estimate its force constant.
A horizontal spring with a force constant of 11 N>m is connected to an air-track cart.When the cart is set in motion, the spring causes it to oscillate back and forth with a periodof 1.2 s. What is the mass of the cart?
H5.
A cube, whose mass is 0.680 kg, is attached to a spring with a force constant of 122 N/m. The cube rests upon a frictionless, horizontal surface (shown in the figure below). m The cube is pulled to the right a distance A = 0.120 m from its equilibrium position (the vertical dashed line) and held motionless. The cube is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the cube? N (b) At that very instant, what is the magnitude of the cube's acceleration (in m/s2)? m/s2 (c) In what direction does the acceleration vector point at the instant of release? Away from the equilibrium position (i.e., to the right in the figure). The direction is not defined (i.e., the acceleration is zero). Toward the equilibrium position (i.e., to the left in the figure). You cannot tell without more information.
The force constant of a spring is 129 N/m. (a) Find the magnitude of the force required to compress the spring by 4.10 cm from its unstretched length. N (b) Find the magnitude of the force required to stretch the spring by 7.24 cm from its unstretched length.
Flexible diving boards designed for large deflections are called springboards. If a diver jumps up and lands on the end of the board, the resulting deflection of the diving board produces a linear restoring force that launches him into the air. But if the diver simply bobs up and down on the end of the board, we can effectively model his motion as that of a mass oscillating on a spring. A light and flexible springboard deflects by 15 cm when a 65 kg diver stands on its end. He then jumps and lands on the end of the board, depressing it by a total of 25 cm, after which he moves up and down with the oscillations of the end of the board.a. What is the frequency of the oscillation?b. What is the maximum speed of his up-and-down motion? Suppose the diver then drives the motion of the board with his legs, gradually increasing the amplitude of the oscillation. At some point the oscillation becomes large enough that his feet leave the board.c. What is the amplitude of the oscillation when the…
Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring (spring constant 240 N/m) to her belt, and the other end to a hook on the wall. A fellow astronaut then pulls her back 17.0 cm and releases her. The period of her ensuing motion is 3.15 s. What is her mass? What maximum acceleration does she experience?
After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 96.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. If we use idea of simple pendulum, such that the period or T = square root of the length/g cycles, I believe that 2 pie when when get rid of square root makes 2 pie become 4 pie. Please the math steps in detail where g= 4pie^2/T^2 I need to get the steps right, so I can use 2pie*sqare riit if L/G