The pendulum shown in the figure sweeps out an angle of ?=32.9∘ during its motion. How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is r=32.7 cm?
Q: Calculate the kinetic energy of the mass 3 s into the motion, in J.
A: Mass, m=0.13Kg Stiffness of spring, k=366N/m The displacement from the equilibrium, x=0.26m
Q: = 12.5° during its motion. How far does the pendulum bob me ball at the end of the rope) travel in…
A: Angle sweep out by the bob of the pendulum between two extremes, θ = 12.5 ° Length of the rope, L…
Q: You just installed a new swing in your backyard. When you are swinging, you are 168 cm from the…
A:
Q: Assume Spidey stands with his web rope at an angle of 19.5 degrees to the vertical. The web rope has…
A:
Q: When a fan is at its highest setting, the fan blade is rotating at 150 Hz. When the fan is turned…
A: Given: Initial rotating frequency = 150 HzFinal rotating frequency = 60 HzAngular deacceleration…
Q: A long rope is fixed to the wall on the right side. The left end is pulled horizontally to the left…
A: Hey there, since you have posted a question with multiple sub-parts we have answered the…
Q: Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.45 m…
A:
Q: Two high precision pendulums move through their equilibrium positions once each second, so that the…
A: Answer:- Given Period of each oscillation (T) = 2.000 s Length of Sweden(L1) = 0.99542 Length of…
Q: An object with m= 27 g is hanging, from a vertical spring. k = 1,393 N/m If you move the object and…
A: Given : m= 27 g = 0.027 kg k = 1,393 N/m
Q: a. What is the spring force acting on the mass before it is pulled down by 6.5cm? b. What is the…
A: Given: The spring constant is 735 N/m. The mass of the object is 7.5 kg. The amplitude of the…
Q: An electron undergoes simple harmonic motion with the acceleration shown below: az(t) = -amax…
A: Given,The equation of acceleration of SHM is,ax(t) = -amaxsin(ωt)amax=365.16 m/s2ω=5.08 rad/s
Q: A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a…
A: Angular motion is one in which a body will rotate around an axis. As in linear motion velocity of a…
Q: Q.2: Consider a thin uniform rod of length a swinging as a physical pendulum about one end, where k…
A:
Q: The pendulum shown in the figure sweeps out an angle of 0= 12.5° during its motion. How far does the…
A:
Q: Here is a pendulum, when theta is equal to zero, what angle does the tension in the 10m long cord…
A: According to Newtons's second law Net force = mass×acceleration
Q: A triangular rod of length L and mass M has a nonuniform linear mass density given by the equation…
A:
Q: A pendulum bob swings through an arc 40 cm long on its first swing. Each swing thereafter, it swings…
A: For the first swing the distance =40cmthe second swing the distance =0.8×40cmthe third swing the…
Q: Any object moving with a specified angular velocity is known to be an object that moves in simple…
A:
Q: The log-log coordinate system below has mass m (in kg) on the horizontal axis, and period T (in s)…
A: A log-log graph, also known as logarithmic graph, is a plotting method in which both the x-axis and…
Q: At time t = 62 s, an oscillator of angular frequency 6.4 s1 is at position x = -3.8 cm moving at…
A:
Q: A frictionless pendulum of mass m=1 kg and length L=1 m, gets released at t=0 from a distance x=0.12…
A:
Q: A thin rod of mass M and length is suspended vertically from a frictionless pivot at its upper end.…
A:
Q: If s represents the displacement andt represents the time for an object moving with rectilinear…
A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…
The pendulum shown in the figure sweeps out an angle of ?=32.9∘ during its motion. How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is r=32.7 cm?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- A simple pendulum is made of a 50 cm-string anda bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.1 m/s. The maximum angular speed, Өтах, is: O 0.8 rad/s O 0.1 rad/s O 0.4 rad/s 0.2 rad/s O 0.05 rad/sWhile visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T = 6.6 seconds. Frequency is = 1/6.6 Angular Velocity = 0.952 Length of the chandelier = 10.81 That evening, while hanging out in J.J Thompson's House O' Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 Seconds. Determine the acceleration due to gravity in m/s^2 at the clubA hollow cylinder of mass M1 and radius R1 rolls without slipping on the inside surface of another hollow cylinder of mass M2 and radius R2. Assume R1<<RZ. Both axes are horizontal, and the larger cylinder is free to rotate about its axis What is the angular velocity or frequency of small oscillations
- Sand moves without slipping at 6.0 m/sm/s down a conveyer that is tilted at 15∘∘. The sand enters a pipe hhh = 5.0 mm below the end of the conveyer belt, as shown in the figure (Figure 1).A newly discovered planet is found to have the acceleration due to gravity g = 6m / (s ^ 2) How much time would a simple pendulum of length 0.5 m take to make one complete swing on that planet?A large solid disk with radius rb= 1.1m has a second, smaller solid disk with radius rs= 0.32m and mass ms= 3.5kg attached to it. Wrapped around the smaller disk is an ideal string with a hanging mass mh= 2.3kg attached to it. The hanging mass starts out a distance yi= 5.2m above the ground as shown in Figure 1, and falls towards the ground with constant speed. a) What is the torque about the center of the pulleys? Remember torque is a vector. b) What should the mass of the larger pulley be such that the system of pulleys has an angular acceleration of α = 1.2rad/s ? c) How long will it take the hanging mass to hit the ground?
- A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L = 1.4 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where O is in radians and t is in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this %3D pendulum. 0.066 J 0.052 J O 0.090 J 0.085 J 0.046 J A traveling wave on a taut string with a tension force T is given by the wave function: y(x.t) = 0.1sin(4x+100t), where x and y are in meters and t is in seconds. The linear mi dancity of the string ieu=01Ko/m If the tension is multiplied byCan you please explain how to find the angle of theta in this problem? The answer states that it is 88.8 degrees but does not explain how. A propeller blade at rest starts to rotate from t = 0 s to t = 5.0 s with a tangential acceleration of the tip of the blade at 3.00m/s^2. The tip of the blade is 1.5 m from the axis of rotation. At t = 5.0 s, what is the total acceleration of the tip of the blade?H2. A simple pendulum has a particle of mass m at the end of a light rod of length 1. The other end of the rod is attached to a fixed point O, at the origin of polar coordinates (r, 0). The particle is at position (r, 0) with 0 = 0 corresponding to the particle being vertically below O. (a) Use the formulae for acceleration in polar coordinates, a = ( − rġ²) + (2rė + rö)ê to show that cos 0 + A, 8 T = mg cos 0 + mlė², where T' is the tension in the rod. Use the relation (0²) = 200 to deduce that 2g ². = 1 and 0 == sin sin 0, (1) where A is a constant. If the particle is instantaneously at rest ( = 0) when the rod is horizontal, find and T when the rod is vertical. How does the tension in the vertical position (which is also the maximal tension) depend on the rod's length /? (b) Assume the particle is subject to linear air resistance av. Use the expression of the velocity in polar coordinates v=rf+rẻÔ (2) together with (1) to write the equations of motion in polar coordinates. Show…
- The balance wheel of a watch oscillates with angular amplitude 0.59?0.59π rad and period 0.18 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 0.59?/20.59π/2 rad, and (c) the magnitude of the angular acceleration at displacement 0.59?/40.59π/4 rad.A small lead ball of mass 2 kg is suspended at the end of a light string 1 m in length. A small peg, 0.5 m below the suspension point, catches the string in its swing. The ball is set swinging through small angles. A) What is the period of the pendulum? B) The ball has started swinging on the side that does not catch the peg, at an initial height 0.05 m above the low point. How high does it rise on the side where the peg restricts the pendulum length to 0.5 m?