During a relaxed walking pace, a person's leg can be thought of as a physical pendulum of length L that pivots about the hip. What is the relaxed walking frequency in Hz for a person whose leg is of length 1.438m. In this approximation, assume the leg is a uniform rod ("uniform" implying the leg has a uniform mass density along its length).
Q: At a certain harbor, the tides cause the ocean surface to rise and fall a distance d (from highest…
A:
Q: A pendulum that consists of two uniform rings, the first ring hasradius R = 12.0 cm and mass 2.50…
A:
Q: The acceleration due to gravity in this problem is taken to be g = 9.80 m/ s2 , unless otherwise…
A: The acceleration due to gravity is g=9.8 m/s2. Given the time period of the pendulum is T=1s Average…
Q: A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from…
A: Given:- Period of pendulum (T) = 11.0 s
Q: A 1.50 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with…
A: The mass of the block is M=1.50 kg The spring constant is k=630 N/m
Q: man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the…
A: (a) The time period of pendulum is given by, T=2πLg Here, L is length of pendulum and g is…
Q: A pendulum of length L oscillates with a frequency of 0.59 Hz near the surface of the planet…
A: Given value--- initial length = L m. initial frequency = 0.59 Hz. final length = L - 0.42 . final…
Q: PROBLEM 3: A particle executes simple harmonic motion with an amplitude of 3.00 cm. At what…
A: Note: As per the guidelines, we can only answer first question of multiple questions. Sorry for the…
Q: length ?0=80 cm hangs from one end and is allowed to oscillate, as shown in the figure. What length…
A:
Q: A spring hangs from the ceiling with an unstretched length of xo = 0.67 m. A m = 5.5 kg block is…
A:
Q: A block – spring system consists of a spring with constant k = 425 N/m attached to a 2.00 - kg block…
A: 10.Step 1It is given that
Q: A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from…
A: Time period of pendulum: T = 28.0 s acceleration due to gravity on earth = gMoon = 1.67 m/s2 Time…
Q: The properties of a spring are such that a load of 8 g produces an extension of 1.3 cm. A mass of…
A: Write the given values using suitable variables. Here m signifies spring load, x signifies spring…
Q: Astronauts on the first trip to Mars take along a pendulum that has a period on earth of 1.50 s. The…
A: Time periods of pendulum on earth and mars,respectively can be given as,…
Q: A bungee jumper with a mass of 65.0 kg jumps from a high bridge. After reaching his lowest point, he…
A:
Q: A block-spring system consists of a spring with constant k = 455 N/m attached to a 2.75 kg block on…
A:
Q: You are working on the plans for an expedition to colonize Mars. In an effort to provide a homey…
A: a) The time period of the pendulum is given by T=2πLgL=T2g4π2 Substituting the values we have…
Q: A spring with a spring constant of k = 184 N/m is initially compressed by a block a distance d =…
A: Given:- The spring constant k = 184 N/m The spring is compressed by a block at a distance d = 0.31…
Q: You are working on the plans for an expedition to colonize Mars. In an effort to provide a homey…
A: Given: Mass of small object 1 , m1 =1.65 kg. The time period of pendulum is, T = 2.00 s.…
Q: Adhesive capsulitis, also known as a "frozen shoulder" is a condition that affects the motion of the…
A: Given that:m=3.2kgT=1.2 s
Q: What is the length, in meters, of a simple pendulum if it has a frequency of 4.97 Hz? Assume that…
A: Frequency of simple pendulum (f)= 4.97 Hz Acceleration due to gravity(g)=14.29 m/s^2
Q: A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,…
A: First four subparts are answered in this question and post the other two as a sperate question and…
Q: A simple pendulum has a length, L = 1m, and a mass of 100 grams. The pendulum is released from angle…
A: Calculate the maximum height to which the pendulum is reached by using the formula h=L-Lcosθ ,…
Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 55.0…
A: Given Length of simple pendulum = L = 55.0 cm the pendulum makes 110 complete swings in a time of…
Q: At a certain harbor, the tides cause the ocean surface to rise and fall a distance d (from highest…
A:
Q: particle executes simple harmonic motion, such that at a given time, it is at x=-(1/9)A moving…
A: GivenMass of particle, m=134 g=0.134 kgx=-19AAnd t=0.24 sv=+17vmax
Q: Physics Create a graph of Displacement vs Time for a horizontal spring-mass oscillator released…
A: .
Q: A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency…
A: Given Cart at the end of spring executing simple harmonic motion. Amplitude A=10cm =0.1m Frequency…
Q: An air-track glider attached to a spring oscillates with a period of 1.5s. At t = 0s the glider is…
A: Given that , at t =0 s x= 5 cm…
Q: A sphere of mass m = 2.5 kg can move across a horizontal, frictionless surface. Attached to the…
A:
Q: A block-spring system consists of a spring with constant k = 475 N/m attached to a 2.25 kg block on…
A: Write a given values of this question. k=475N/mm=2.25kg Pulled distance of block is 7.20cm.
Q: You are working on the plans for an expedition to colonize Mars. In an effort to provide a homey…
A:
Q: A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000…
A: Part A:
Q: The acceleration due to gravity in this problem is taken to be g = 9.80 m/ s2 , unless otherwise…
A: The time period T (in seconds ) of simple pendulum is given by…
Q: What is the length, in meters, of a simple pendulum if it has a frequency of 3.51 Hz? Assume that…
A: Ferquency (F) = 3.51 Hz Acceleration due to gravity (g) = 11.94 m/s2 let length of the pendulum…
Q: A simple pendulum with a length of 1.83 m and a mass of 6.54 kg is given an initial speed of 2.76…
A:
Q: properties of a spring are such that a load of 10 g produces an extension of 1.9cm. A mass of 0.1 kg…
A: We know that F = kx mg = kx k = mg/x = 10×10-3 ×9.8 / 1.9×10-2 = 5.16 N/m
Q: The properties of a spring are such that a load of 10 g produces an extension of 1.4 cm. A mass of…
A: Write the expression for the force and substitute the required values to calculate the value of…
Q: Dr. Benton has long thought that OSU should install a Foucault (simple) pendulum in the atrium of…
A: (a) The formula for the time period of a pendulum is:
Q: A simple harmonic oscillator consists of a spring with a force constant of k = 59.5 N/m connected to…
A: Scenario - When a block attached with spring is stretched and then released it starts oscillating…
During a relaxed walking pace, a person's leg can be thought of as a physical pendulum of length L that pivots about the hip. What is the relaxed walking frequency in Hz for a person whose leg is of length 1.438m. In this approximation, assume the leg is a uniform rod ("uniform" implying the leg has a uniform mass density along its length).

Trending now
This is a popular solution!
Step by step
Solved in 3 steps

- A pendulum is formed by pivoting a long thin rod about a point on the rod. In a series of experiments, the period is measured as a function of the distance d between the pivot point and the rod's center. (a) If the rod's length is L = 1.11 m and its mass is m = 26.8 g, what is the minimum period? (b) If d is chosen to minimize the period and then L is increased, does the period increase, decrease, or remain the same? (c) If, instead, m is increased without L increasing, does the period increase, decrease, or remain the same?A block is attached to a ceiling by a spring of force constant k. When pulled down and released, the block undergoes simple harmonic motion. The motion of the block is shown in the time plot. y(t) (cm) 2 MA 8π 16π 24π 32π Which of the choices most closely describes the amplitude A and frequency f of the motion of the block? A = 2 cm; f A = 4 cm; f = 1 Hz 16π 1 Hz 8π 1 A = 4 cm; f = Hz 16π A = 2 cm; f = 16π Hz Which of the equations of motion best describes the motion of the block? t y (t) = = 2 cos 8 Oy (t) = 4 cos (16лt) y (t) = 2 cos (8t) y (t) = 4 cos 8 If the mass of the block is 9.14 kg, what is the force constant k of the spring? 90.2 k = IncorrectA simple harmonic oscillator consists of a 0.85 kg block attached to a spring. The block slides back and forth along a straight line on a frictionless surface with equilibrium point x = 0. At t = 0 the block is at x = 0 and moving in the positive x direction. A graph of the magnitude of the net force F on the block as a function of its position is shown in the figure. What are (a) the amplitude and (b) the period of the motion, (c) the magnitude of the maximum acceleration, and (d) the maximum kinetic energy? F(N) 75 0.30 x (m) -0.30 -75
- A block of mass m = 1.8 kg is fastened to an unstrained horizontal spring whose spring constant is k = 85 N/m. The block is given a displacement of +0.15 m, where the sign indicates that the displacement is along the +x-axis, and then released from rest. (a) Find the angular frequency of the resulting oscillatory motion. Does this number change if the initial displacement is larger? Explain with a sentence or two. (b) Use concept of energy to determine the maximum speed final positions you used for energy states. the block. Explicitly state which initial and (c) Use the concept of force to set up a free body diagram and Newton's Second Law equation to detemine the magnitude of the maximum acceleration of the blockA 0.900 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k= 420 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t= 0 the block passes through x = 0 with a speed of 4.20 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion? (a) Number i Units (b) Number i UnitsYou are working on the plans for an expedition to colonize Mars. In an effort to provide a homey atmosphere for the Mars colonists, the plan is to send a number of grandfather clocks along with the expedition. Each colonist apartment will contain one grandfather clock. You are in charge of designing the clock pendula. The clocks will have a pendulum with a period of T = 2.00 s when the acceleration due to gravity is 9.80 m/s². Your design for the pendulum includes a small object of 1.83 kg mounted such that its center is at the end of a very light rod, as shown in (a) of the figure. The pivot point is at the upper end of the rod. mass m₁ (a) = m1 CM X- L (b) m m2 CMX- m1 d L (a) Determine the required length L for the rod (in m) when the clock is operating with a 2.00 s period on Earth. 0.993 (b) As shown in (b) of the figure, when the clock is operated on Mars, a small object of mass m₂ can be mounted at a position r that is 29.0% of the length of the rod from its pivot point. This…
- The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the dista Garbanzo Galaxy. A scouting party sets out to explore. The party's leader—a physicist, naturally—immediately makes a determination of the acceleration due to gravity gpp on the Pink Planet's surface by means of a simple pendulum of length 1.30 m. She sets the pendulum swinging, and her collaborators carefully count 110 complete cycles of oscillation during 205 What does the party measure for gpp for the Pink Planet? gpp = mA “seconds” pendulum is one that moves through its equilibrium position once each second. (The period of the pendulum is 2.000 s.) The length of a seconds pendulum is 0.9927 m at Tokyo and 0.9942 m at Cambridge, England. What is the ratio of the free - fall accelerations at these two locations?A simple pendulum has a period of 2.7 s and an amplitude of 5.0 cm. The mass of the bob is 5 g. Calculate the maximum kinetic energy of the pendulum and give your answer micro Joules (μJ).
- A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg, and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?A 0.50 kg object rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 22.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. How fast is the object moving (in m/s) when the spring is momentarily compressed by 2.00 cm (that is, when x = −2.00 cm)? How fast is the object moving (in m/s) whenever the spring is extended by 2.00 cm (that is, when passing through x = +2.00 cm)? Find the magnitude of the displacement (in cm) at which the object moves with one-half of the maximum speed.A 0.4 kg block hangs from a spring with a spring constant of 17 N/m. At t=0s the block is 0.3 m below the equilibrium point and moving upward with a speed of 1.6 m/s. What is the block's oscillation frequency (in Hz)?