Q1:

A small ball is attached to one end of a spring that has an unstrained length of 0.232 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 4.31 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0104 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless? Number l Units 4} When responding to sound, the human eardrum vibrates about its equilibrium position. Suppose an eardrum is vibrating with an amplitude of 5.0 x10'7 m and a maximum speed of 3.0 xilO'3 m/s. (a) What is the frequency (in Hz) of the eardrum's vibrations? (b) What is the maximum acceleration of the eardrum? (a) Number I Units (b) Number I Units 4} . A block of mass m = 0.503 kg is fastened to an unstrained horizontal spring whose spring constant is k = 96.6 N/m. The block is given a displacement of +0.174 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (with sign) that the spring exerts on the block just before the block is released? (b) Find the angular frequency w of the resulting oscillatory motion. (c) What is the maximum speed of the block? (d) Determine the magnitude of the maximum acceleration of the block. (a) Number Units (b) Number i Units (c) Number Units (d) Number i UnitsA tray is moved horizontally back and forth in simple harmonic motion at a frequency of f = 1.70 Hz. On this tray is an empty cup. Obtain the coefficient of static friction between the tray and the cup, given that the cup begins slipping when the amplitude of the motion is 4.48 cm. Number UnitsAvertical spring with a spring constant of 320 N/m is mounted on the oor. From directly above the spring, which is unstrained, a 0.15-kg block is dropped from rest. It collides with and sticks to the spring, which is compressed by 3.9 cm in bringing the block to a momentary halt. Assuming air resistance is negligible, from what height above the compressed spring was the block dropped