A body whose mass is 1.82 kg is suspended from a spring of negligible mass , and is found to stretch the spring 3.12 cm.

(i) What is the force constant of the spring?

(ii) What is the period of oscillation of the body, if pulled down and released?

(iii) What would be the period of a body weighing 3.63 kg, hanging from the same spring?

Solutions

Expert Solution

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

A mass m = 1 kg is suspended from a spring that is stretched 1 cm...

A mass m = 1 kg is suspended from a spring that is stretched 1 cm under the influence of the weight of this mass. Now a periodic force is applied external of F (t) = 200 cos (vt) on the mass, which was initially in static balance. Disregarding all friction, get a relationship for position of the mass as a function of time, x (t). Also determine the value of ω which will cause resonance to occur

When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm

When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm. By suspending 2.0 kg block to the spring and if the block is pulled through 10 cm and released, the maximum velocity of it in m/s is approximately

A hollow ball of diameter D is suspended from a string of negligible mass whose length...

A hollow ball of diameter D is suspended from a string of negligible mass whose length is equal to the ball’s diameter. The string is attached to the surface of the ball. Find an expression for the period of this physical pendulum in the small-amplitude approximation.

A mass of 2 kg is suspended from a spring with known spring constant of 10N/m...

A mass of 2 kg is suspended from a spring with known spring constant of 10N/m and allowed to come to rest. it is then set in motion by giving it an initial velocity of 150 cm/sec. Find an expression for the motion of the mass, assuming no air resistance.

1. A mass weighting 8 pounds is suspended from a spring whose spring constant is 9...

1. A mass weighting 8 pounds is suspended from a spring whose spring constant is 9 lb/ft. There are no damping or external forces. The mass is then released from an initial position of 5 feet above the equilibrium position with an initial downward velocity of 30 ft/sec. (Note: Use g = 32 ft/sec!) a) Write down an initial value problem modeling this situation. b) Find the equation of motion. c) What are the amplitude, period, and frequency of the...

A ball of mass M is suspended by a thin string (of negligible mass) from the...

A ball of mass M is suspended by a thin string (of negligible mass) from the ceiling of an elevator. The vertical motion of the elevator as it travels up and down is described in the statements below. Indicate for each of the situations described the relation between value of the tension in the cable, T, and the weight of the ball, Mg, or whether one Cannot tell. (Assume that there is no air, i.e., neglect the buoyancy effect of...

1. A 50-cm-long spring is suspended from the ceiling. A 230g mass is connected to the...

1. A 50-cm-long spring is suspended from the ceiling. A 230g mass is connected to the end and held at rest with the spring unstretched. The mass is released and falls, stretching the spring by 18cm before coming to rest at its lowest point. It then continues to oscillate vertically. a. What is the spring constant? (K=) b. What is the amplitude of the oscillation? c. What is the frequency of the oscillation? 2. Suppose the free-fall accelaration at some...

A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...

A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.60 N is applied. A 0.400-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...

A simple pendulum is constructed from a negligible mass that does not stretch and a bob...

A simple pendulum is constructed from a negligible mass that does not stretch and a bob of mass 0.87kg that is essentially a point mass. The length of the string is 1.43m. The pendulum is started by being released from rest with an angle(with respect to the vertical) of 6.98 degrees. Use g=9.81 what is the maximum speed in m/s the answer is 0.32m/s. how do I get this? 2. A simple pendulum is constructed from a negligible mass that...

A 50-gram mass is hanging from a spring whose unstretched length is 10 cm and whose...

A 50-gram mass is hanging from a spring whose unstretched length is 10 cm and whose spring constant is 2.5 N/m. In the list below are described five situations. In some of the situations, the mass is at rest and remains at rest. In other situations, at the instant described, the mass is in the middle of an oscillation initiated by a person pulling the mass downward 5 cm from its equilibrium position and releasing it. Ignore both air resistance...

Subjects