Homework Answers
A mass spring system can be given by
Since, F=kx for spring connected to mass
Therefore, oprion A is correct i.e. Force is directly proportional to displacement
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8. For a mass spring system in SHM a. The force is directly proportional to displacement...
Statics 6. The statement: "The acceleration of an object is directly proportional to the net force...
Statics
6. The statement: "The acceleration of an object is directly proportional to the net force exerted and inversely proportional to the object's mass" represents: Newton's first law A. Newton's second law B. C. Newton's third law D. None of the above The forces, which meet at one point and their lines of action do not lie on the same plane, are known as: 7. A. non-coplanar concurrent forces C. non-coplanar non-concurrent forces B. coplanar non-concurrent forces D. coplanar concurrent...
5. (3 points) A mass-spring system is in SHM in the horizontal direction. If the mass...
5. (3 points) A mass-spring system is in SHM in the horizontal direction. If the mass of 1.2 kg, the spring constant is 15 N/m and the amplitude is 20.0 cm, what is the speed of the mass at the moment when the displacement is 10.0 cm. Hint: Speed is always expressed as a nonnegative number (positive number or zero)
A mass on a spring in SHM has amplitude A and period T. At what position...
A mass on a spring in SHM has amplitude A and period T. At what position in oscillatory motion is the velocity zero? a) x = 0 b) 0<x<A c) x = A d) x < 0 e) x > 0 f) none of the above
Question8 n the spring-mass-damper system in Figure 8, the force F, is applied to the mass and it...
Question8 n the spring-mass-damper system in Figure 8, the force F, is applied to the mass and its displacement is measured via r(t), whilst k and c are the spring and damper constants, respectively x(t) Figure 8: A spring-mass-damper system. a) Obtain the differential equation that relates the input force F, to the measured dis- (6 marks) placement x(t) for the system in Figure 8. b) Draw the block diagram representation of the system in Figure 8. c) Based on...
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore...
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore the vertical motion is SHM (b) A body is suspended from the(c) If the body is displaced from spring. It is in equilibrium when the equilibrium, the net force on the body upward force exerted by the stretched is proportional to its displacement. spring equals the body's weight. The oscillations are SHM Al- A hanging spring that obevs Hooke's law ΔΙ img mg
Engineers have invented a new kind of spring whose restoring force is proportional to the third power of displacement
Engineers have invented a new kind of spring whose restoring force is proportional to the third power of displacement: |F(x)| = |βx3| where B = (1/9) N/m3. One end of this spring is fixed to the bottom of an inclined plane which makes an angle θ = 36.87° with respect to the horizontal, and the other end is stretched up the incline and attached to a block of mass m = 3.00 kg. The spring is initially stretched a distance...
Spring-Mass Problem
Two identical particles \(A\) and \(B\) of mass \(m\) are connected by a light spring of natural length \(l_{0}\) and spring constant \(k .\) The system is placed on the ground with \(A\) vertically above \(B\).(a) Let \(y_{A}\) be the displacement of \(A\) measured from the ground. Determine \(y_{A}\) when the system is in equilibrium.(b) If \(A\) is projected upward from the equilibrium position with velocity \(u(>2 g \sqrt{m / k})\)find the values of \(y_{A}\) and \(\dot{y}_{A}\) when \(B\) just...
do not solve using shm 8) A 4.00-kg mass hangs vertically from a massless spring. The...
do not solve using shm
8) A 4.00-kg mass hangs vertically from a massless spring. The spring constant of the spring is 100 N/m. The mass is pulled downward 0.02 meters and then released from rest. What is the speed of the mass when it is 0.01 meter above the point from which it was released? X B) 0.0443 m/s A) 0.0866 m/s C) 0.0201 m/s D) 0.0744 m/s E) The mass will not reach the height specified.
CONCEPT QUESTION 3.25 A spring balance with a linear scale can be used to measure mass...
CONCEPT QUESTION 3.25 A spring balance with a linear scale can be used to measure mass because (A) springs are strong. (B) metal springs can be considered weightless. (C) a spring force is linear in spring constant due to its strength. (D) the spring force is linear in displacement through Hooke's law. (E) none of the above. We were unable to transcribe this imageс пен CONCEPT QUESTION 3.21 The maximum force of friction between two surfaces is! (A) independent of...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the sy...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
Statics
6. The statement: "The acceleration of an object is directly proportional to the net force exerted and inversely proportional to the object's mass" represents: Newton's first law A. Newton's second law B. C. Newton's third law D. None of the above The forces, which meet at one point and their lines of action do not lie on the same plane, are known as: 7. A. non-coplanar concurrent forces C. non-coplanar non-concurrent forces B. coplanar non-concurrent forces D. coplanar concurrent...
5. (3 points) A mass-spring system is in SHM in the horizontal direction. If the mass of 1.2 kg, the spring constant is 15 N/m and the amplitude is 20.0 cm, what is the speed of the mass at the moment when the displacement is 10.0 cm. Hint: Speed is always expressed as a nonnegative number (positive number or zero)
Question8 n the spring-mass-damper system in Figure 8, the force F, is applied to the mass and its displacement is measured via r(t), whilst k and c are the spring and damper constants, respectively x(t) Figure 8: A spring-mass-damper system. a) Obtain the differential equation that relates the input force F, to the measured dis- (6 marks) placement x(t) for the system in Figure 8. b) Draw the block diagram representation of the system in Figure 8. c) Based on...
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore the vertical motion is SHM (b) A body is suspended from the(c) If the body is displaced from spring. It is in equilibrium when the equilibrium, the net force on the body upward force exerted by the stretched is proportional to its displacement. spring equals the body's weight. The oscillations are SHM Al- A hanging spring that obevs Hooke's law ΔΙ img mg
do not solve using shm
8) A 4.00-kg mass hangs vertically from a massless spring. The spring constant of the spring is 100 N/m. The mass is pulled downward 0.02 meters and then released from rest. What is the speed of the mass when it is 0.01 meter above the point from which it was released? X B) 0.0443 m/s A) 0.0866 m/s C) 0.0201 m/s D) 0.0744 m/s E) The mass will not reach the height specified.
CONCEPT QUESTION 3.25 A spring balance with a linear scale can be used to measure mass because (A) springs are strong. (B) metal springs can be considered weightless. (C) a spring force is linear in spring constant due to its strength. (D) the spring force is linear in displacement through Hooke's law. (E) none of the above. We were unable to transcribe this imageс пен CONCEPT QUESTION 3.21 The maximum force of friction between two surfaces is! (A) independent of...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
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