Exam 10: Simple Harmonic Motion and Elasticity

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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. -What is the stress on the wire?

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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. -What is the elongation strain on the wire?

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When a force of 19 N is applied to a spring, it elongates 0.085 m.Determine the period of oscillation of a 4.0-kg object suspended from this spring.

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Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

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A ping-pong ball weighs 0.025 N.The ball is placed inside a cup that sits on top of a vertical spring.If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m.Neglect air resistance and determine the spring constant. A ping-pong ball weighs 0.025 N.The ball is placed inside a cup that sits on top of a vertical spring.If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m.Neglect air resistance and determine the spring constant.

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A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley.At this location, the period of the pendulum is decreased by 3.00%.What is the value of g in Death Valley?

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A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m.The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface.What is the amplitude of the resulting oscillation of this system? A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m.The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface.What is the amplitude of the resulting oscillation of this system?

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In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s.The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s.What is the ratio L2/L1?

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A block is suspended from the ceiling by a long, thin strip of tungsten metal.The strip behaves as a spring.To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required.Calculate the spring constant for the tungsten strip. A block is suspended from the ceiling by a long, thin strip of tungsten metal.The strip behaves as a spring.To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required.Calculate the spring constant for the tungsten strip.

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10-3 A plastic box has an initial volume of 3.50 m3.It is then submerged below the surface of a liquid and its volume decreases to 3.48 m3. -What is the volume strain on the box?

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A simple pendulum on earth has a period of 6.0 s.What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

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What is the total mechanical energy of the system at any instant?

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The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks.A thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10-4 m2.What is the maximum compressional force that can be applied to the thighbone?

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10-4 When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m.The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown.The block is then pulled so that the spring stretches to a total length of 0.15 m.The block is released at time t = 0 s and undergoes simple harmonic motion. 10-4 When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m.The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown.The block is then pulled so that the spring stretches to a total length of 0.15 m.The block is released at time t = 0 s and undergoes simple harmonic motion.   -What is the frequency of the motion? -What is the frequency of the motion?

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A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring.The spring is then cut into two halves.The 1.0-kg block is then made to oscillate at the end of one of the halves.What is the frequency of oscillation of the block?

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A 0.750-kg object hanging from a vertical spring is observed to oscillate with a period of 1.50 s.When the 0.750-kg object is removed and replaced by a 1.50-kg object, what will be the period of oscillation?

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A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle.About how much energy does this oscillator lose per cycle?

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Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.

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A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L.The ball is displaced from its equilibrium position by a small angle θ\theta .What is the magnitude of the restoring force that moves the ball toward its equilibrium position and produces simple harmonic motion?

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10-1 A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. 10-1 A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B.   -Determine the spring constant k. -Determine the spring constant k.

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