Question

In: Physics

An experimental setup consists of a small weight (approx. 20g) hung from a spring. Devise a...

An experimental setup consists of a small weight (approx. 20g) hung from a spring. Devise a method to estimate the spring's constant with the force sensor and another method without one. Describe your methodologies, results, and differences therein.

Solutions

Expert Solution

When a load F suspended from lower free end of a spring hanging from a rigid support, it increases its length by amount x, then F is proportional x or F= k x, where k is constant of proportionality. It is called the force constant or the spring constant of the spring.

other method to find spring constant would to measure the time period of it's oscillations. extend the hanging mass by some distance A and then note the time taken by it to complete some measurable number of oscillations, from that you can find the time taken by it to complete one oscillation that would be it's time period and is =

so you can get a relation between time period and spring constant

please rate it up thanks :)

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

an 10 kg object is hung from a spring attached to a fixed support. The spring...
an 10 kg object is hung from a spring attached to a fixed support. The spring constant of the spring is k=40 Nm**(-1) (I mean to the power of -1) Suppose an external downward force of magnitude f(T) = 20 e **(-2t) N is applied to the object, and damping due to air resistence occurs with damping constant beta = 40 N s m **(-1). Let y(t) denote the distance in meters of the object below its equilibrium position at...
When a 0.43 kg mass is hung from a certain spring it stretches 0.12 m to...
When a 0.43 kg mass is hung from a certain spring it stretches 0.12 m to its equilibrium position at point P. If this mass is pulled down 0.157 m from point P and released, what is the magnitude of the velocity in m/s of this mass 0.0321 m from point P?
A block with mass m =6.2 kg is hung from a vertical spring. When the mass...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. After t = 0.32 s what is the speed of the block? At t = 0.32 s what is the magnitude of the net force on the...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? 2) What is the oscillation frequency? After t = 0.32 s what is the speed of the block? What...
A block with mass m =7.4 kg is hung from a vertical spring. When the mass...
A block with mass m =7.4 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.21 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5.1 m/s. The block oscillates on the spring without friction. 3)After t = 0.4 s what is the speed of the block? 4)What is the magnitude of the maximum acceleration of the block? 5)At t = 0.4...
A block with mass m =7.5 kg is hung from a vertical spring. When the mass...
A block with mass m =7.5 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.1 m/s. The block oscillates on the spring without friction. After t = 0.3 s what is the speed of the block? What is the magnitude of the maximum acceleration of the block? At t = 0.3...
A block with mass m =6.5 kg is hung from a vertical spring. When the mass...
A block with mass m =6.5 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.1 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m 2) What is the oscillation frequency? Hz 3) After t = 0.39 s what is the speed...
A block with mass m =6.7 kg is hung from a vertical spring. When the mass...
A block with mass m =6.7 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.29 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.7 m/s. The block oscillates on the spring without friction. A)What is the spring constant of the spring? B)What is the oscillation frequency? C) After t = 0.32 s what is the speed of the block? D)What...
Question: A block is hung vertically from a spring of force constant 50N/m and slowly lowered...
Question: A block is hung vertically from a spring of force constant 50N/m and slowly lowered to equilibrium, stretching the spring by 0.1m. If instead of being lowered slowly to equilibrium, the block --still attached to the spring-- was released from rest and allowed to fall, which of the following would happen? Answer: A) It would descend 0.1m and remain at that position B) It would descend 0.1m and reverse its direction of motion C) It would descend 0.2m and...
Consider 100 g mass hung from a spring at equilibrium (y = 0). Write the equation...
Consider 100 g mass hung from a spring at equilibrium (y = 0). Write the equation of oscillation, and sketch of the mass’ position y(t) for the following situations. Be sure to correctly identify each function drawn. a) Suppose the mass is displaced upward from the equilibrium position by 10 cm and then released from this position at time t = 0. A period of oscillation of 2 second was observed. Draw this on the first graph. (b) Suppose the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT