A spring is hung from the ceiling. A 0.422-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.194 m before momentarily coming to rest, after which it moves back upward. (a) What is the spring constant of the spring? (b) Find the angular frequency of the block's vibrations.

A mass of 7 kg hangs from a spring attached to the ceiling. The spring has a spring constant of 500 N/m and it stretches 13.6 cm from its mean position. A student grabs the spring, applies a force and stretches it a further 3.0 cm downwards. The block is released and initially accelerates upward before undergoing simple harmonic motion. Calculate the initial vertical acceleration of the mass. (Units: m/s2 , to 2 sig figs)

In the figure, block 2 of mass 2.60 kg oscillates on the end of a spring in SHM with a period of 18.00 ms. The position of the block is given by x = (1.70 cm) cos(wt + T/2). Block 1 of mass 5.20 kg slides toward block 2 with a velocity of magnitude 7.50 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t = 4.50 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision? 2010 Number Units m 2.

A solid iron cube is attached to spring-like device and is able to oscillate horizontally with negligible friction. Each side of the cube is 1.50 cm long. The cube is initially pulled to a point where it stretches the spring-like device by 2.75 cm where it is held at rest with a horizontal force of 1.45 N. What is the frequency at which it oscillates when it is released? (Assume the density of iron is 7.86 g/cm3.)

A 0.48 kg body undergoes simple harmonic motion of amplitude 8.6 cm and period 0.10 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?

A spring is hung from the ceiling. A 0.588-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.101 m before momentarily coming to rest, after which it moves back upward. (a) VWhat is the spring constant of the spring? (b) Find the angular frequency of the block's vibrations. (a) Number i 57.09 Units N/m (b) Number i 97.0989 Units rad/s

A rifle bullet with mass 8.00 g and initial horizontal velocity 280 m/s strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless surface and is attached to one end of an ideal spring. The other end of the spring is attached to the wall. The impact compresses the spring a maximum distance of 15.0 cm. After the impact, the block moves in SHM. Calculate the period of this motion.

A spring is hung from the ceiling. A 0.556-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.102 m before momentarily coming to rest, after which it moves back upward. (a) What is the spring constant of the spring? (b) Find the angular frequency of the block's vibrations.

4:30 1 Classroom a docs.google.com 250 W 1000 W 125 W A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, O'max, is: 0.1 rad/s 0.05 rad/s 0.8 rad/s 0.4 rad/s 0.2 rad/s A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is A = 0.01 m and the mass of the block is m = 100 g then the angular frequency w is equal to 10 rad/s 20 rad/s 2.5 rad/s

A 0.478 kg body undergoes simple harmonic motion of amplitude 8.08 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?