= 2.50 kg and M = 9.00 kg) and a spring (k = 270 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks isIn the figure, two blocks (m0.310. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block?00000000NumberUnits0.15768

Name: = 2.50 kg and M = 9.00 kg) and a spring (k = 270 N/m) are arranged on
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: = 2.50 kg and M = 9.00 kg) and a spring (k = 270 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks isIn the figure, two blocks (m0.310. What amplitude of simple harmonic motion of the s

Given data: The masses of the blocks are, m=2.50 kg M= 9 kg The force constant of the spring is, k=…

Science

Physics

In the figure, two blocks (m = 2.50 kg and M = 9.00 kg) and a spring (k = 270 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.310. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? NumberTo.15768 Units m

In the figure, two blocks (m = 2.50 kg and M = 9.00 kg) and a spring (k = 270 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.310. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? NumberTo.15768 Units m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 74PQ: The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the...

See similar textbooks

Similar questions

A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15
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.
The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.
For each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
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?
The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73
A mass-spring system moves with simple harmonic motion along the x axis between turning points at x1 = 20 cm and x2 = 60 cm. For parts (i) through (iii), choose from the same five possibilities, (i) At which position does the particle have the greatest magnitude of momentum? (a) 20 cm (b) 30cm (c) 40 cm (d) some other position (e) The greatest value occurs at multiple points, (ii) At which position does the particle have greatest kinetic energy? (iii) At which position does the particle-spring system have the greatest total energy?
A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.
Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.
A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of g/3 when the acceleration suddenly ceases (at t = 0). (a) What is the angular frequency of oscillation of the block after the acceleration ceases? (b) By what amount is the spring stretched during the time that the elevator car is accelerating?