Exam 10: Simple Harmonic Motion and Elasticity

A vertical block-spring system on earth has a period of 6.0 s.What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

In the produce section of a supermarket, five pears are placed on a spring scale.The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg.If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

Young's modulus of nylon is 3.7 × 10⁹ N/m².A force of 6.0 × 10⁵ N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m².By what amount does the nylon stretch?

Complete the following sentence: Resonance occurs in harmonic motion when

A spring with constant k = 78 N/m is at the base of a frictionless, 30.0°-inclined plane.A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position.The block is then released.If the block is not attached to the spring, how far up the incline will it travel before it stops?

A certain spring compressed 0.20 m has 10 J of elastic potential energy.The spring is then cut into two halves and one of the halves is compressed by 0.20 m.How much potential energy is stored in the compressed half of the spring?

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling.The object is displaced 0.045 m vertically.When the object is released, the system undergoes simple harmonic motion.What is the magnitude of the maximum acceleration of the object?

Melissa's favorite exercise equipment at the gym consists of various springs.In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position.The other end of the spring (spring constant = 45 N/m) is held in place by the equipment frame.What is the magnitude of the force that Melissa is applying to the handle grip?

Which one of the following statements is true concerning the motion of the block?

Complete the following statement: Young's modulus cannot be applied to

What are the SI units of the shear modulus?

10-2 A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm².The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m.What is the maximum acceleration of the ball?

The position of a simple harmonic oscillator is given by where t is in seconds.What is the maximum velocity of this oscillator?

Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

Which one of the following statements concerning Hooke's law is false?

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

A spring with a spring constant k = 1600 N/m is at rest on the bottom of an inclined plane.A 7.0-kg block slides down the plane and makes contact with the spring at point A as shown.After contact, the spring is compressed to point B, 0.20 m from point A, where the speed of the block is zero m/s.What was the speed of the block just before contact with the spring?

The brick shown in the drawing is glued to the floor.A 3500-N force is applied to the top surface of the brick as shown.If the brick has a shear modulus of 5.4 × 109 N/m², how far to the right does the top face move relative to the stationary bottom face?

The spring constant for the spring in a special cannon is 1800 N/m.In cocking the cannon, the spring is compressed 0.55 m.What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?