A block of mass m is undergoing SHM on a horizontal, frictionless surface while it is attached to a light, horizontal spring that has force constant k. The amplitude of the SHM of the block is A. Part A What is the distance z of the block from its equilibrium position when its speed v is half its maximum speed vmax ? Express your answer in terms of A. |z| = A cos aot Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Is this distance larger or smaller than A/2? O This distance is larger than A/2. This distance is smaller than A/2. Submit Request Answer
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- A rubber band of mass 0.3167 g is stretched between two fingers. The overall stretched length of the band is 20.33 cm. One side of the band is plucked, setting up a vibration in 9.613 cm of the band's stretched length. The lowest frequency of vibration that can be set up on this part of the rubber band is 239.1 Hz. What is the tension in each side of the rubber band? Assume that the band stretches uniformly. NAn object with mass 4.0 kg is executing simple harmonic motion, attached to a spring with spring constant 330 N/m. When the object is 0.025 m from its equilibrium position, it is moving with a speed of 0.55 m/s. Part A Calculate the amplitude of the motion. Express your answer to two significant figures and include the appropriate units. A = Submit Part B Umax= μA Submit Value Request Answer Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate units. HA Value → Request Answer Units P Pearson ? Units ?Problem HW7.2 A block of mass m = 1.8 kg is fastened to an unstrained horizontal spring whose spring constant is k = 85 N/m. The block is given a displacement of +0.15 m, where the sign indicates that the displacement is along the +x-axis, and then released from rest. (a) Find the angular frequency of the resulting oscillatory motion. Does this number change if the initial displacement is larger? Explain with a sentence or two. (b) Use concept of energy to determine the maximum speed of the block. Explicitly state which initial and final positions you used for energy states. (c) Use the concept of force to set up a free body diagram and Newton's Second Law equation to determine the magnitude of the maximum acceleration of the block.
- A 330-kg wooden raft floats on a lake. When a 70-kg man stands on the raft, it sinks 3.9 cm deeper into the water. When he steps ff, the raft oscillates for a while. Part A What is the frequency of oscillation? Express your answer using two significant figures. Η ΑΣφ Hz Submit Request Answer Part B What is the total energy of oscillation (ignoring damping)?B/ Answer the following questions: D Define stress, strain and Hook's law, and draw their relation. 2) According to simple harmonic motion, in the moment of an object passing by the half distance of its passage then what the state of its energy? 3) if a wall clock has been fallen from a height, will it keep giving the correct time during the free fall? Explain the reason.Robert receives a parking ticket. Angry, he punches the No Parking sign with a constant force of 500 N, displacing the sign by 5.0 cm. The sign swings back and forth in SHM(simple harmonic motion) with a frequency of 4.5 Hz (4.5 cycles per second). i. Assuming he ends his punch at time t = 0 with the sign at rest at a position x = −5.0 cm, write an equation for the position of the sign as a function of time. ii. What is the maximum speed? iii. What is the effective spring constant (or stiffness constant) of the No Parking sign?
- Help me with this question, please, only typingImagine an idealized mass-spring system. It is vibrating with a certain amplitude. If we keep the same spring and vibration amplitude but double the mass, what happens to the mechanical energy of the system? O It increases by a factor of 2. O It increases by a factor of V2. O It increases by a factor of 3. O It does not change. O It increases by a factor of 4.An object is undergoing SHM with period 0.750s and amplitude 0.320 m. At t = 0, the object is at r = 0.320 m and is instantaneously at rest. Part A You may want to review (Page). For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Angular frequency, frequency, and period in shm. Calculate the time it takes the object to go from z = 0.320 m, to x = 0.160 m. Express your answer with the appropriate units. ? t = 0.1875 Is Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Calculate the time it takes the object to go from x = 0.160 m, to z =0. Express your answer with the appropriate units. HA ? t = 0.125 S Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining MacBook Air esc 80 000 F1 F2 F3 DII F4 DD F5 F6 F7 FB F9 F10