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- The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.67 m and 1.01 m, respectively. The respective rotational speeds are 460 rev/min and 4,130 rev/min. Calculate the speeds of the tips of both rotors. main rotor m/s tail rotor m/s Compare these speeds with the speed of sound, 343 m/s. vmain rotor = vsound vtail rotor = vsoundThe subject is all about dynamics. The topic is all about the Curvilinear Motion of Particles or Tangential and Normal Components. Please use two decimal places and show the conversion process. Use pen and paper to solve. Thank you. Here are the formulas: a_x=0 a_y=-g v_x=v_xo v_y=v_yo-gt x=x_o+v_xo t y=y_o+v_yo t-1/2 gt^2 for the Tangential and Normal Components fomulas: a_t=dv/dt a_n=v^2/ρ1. For this series of 4 questions, a rider rides in a car that is connected to a 4-m rod, and rotates about the z axis. The rod of negligible mass is subjected to a constant couple moment of M, and the engine of the car supplies a traction force of F. Neglect the size of the car. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 1) If the total mass of the car and the rider is 145 kg, and the car moves at a velocity of 6.1 m/s, what is the magnitude of the linear momentum of the car-rider system in kg•m/s? Your answer must include 1 place after the decimal point. Your Answer: Answer Z M 4 m F
- Three identical thin rods, each of length L and mass m, are welded perpendicular to one another as shown In the figure below. The assembly is rotated about an axis that passes through the end of one rod and Is parallel to another. Determine the moment of inertia of this structure about this axls. (Use any variable or symbol stated above as necessary.) I = Axis of rotationIf the beaters on a Mixmaster make 700 revolutions in 2 minutes, what is the average rotational speed of the beaters? Express your answer in both revolutions per minute and revolutions per second.rev/minrev/sThe axle of a wheel is mounted on supports that rest on a rotating turntable as shown in the figure. (Figure 1) The wheel has angular velocity ω1ω1omega_1 = 46.5 rad/s about its axle, and the turntable has angular velocity ω2ω2omega_2 = 34.0 rad/s about a vertical axis. (Note arrows showing these motions in the figure.) Take the z-axis vertically upward and the direction of the axle at the moment shown to be the x-axis pointing to the right. Take the direction perpendicular to that of the axle at the moment shown to be the y-axis pointing in the page. What are the directions of ω1 at the instant shown? Express your answer with the appropriate units. Theta1=? What are the directions of ω2 at the instant shown? Express your answer with the appropriate units. Theta2=?
- What is the net torque about on the bar shown in (Figure 1) about the axis indicated by the dot? Suppose that ϕ = 80 ∘ and θ = 60 ∘. Express your answer to two significant figures and include the appropriate units.A 1.45 kg mass is attached to a light cord that is wrapped around a pulley of radius 6.20 cm, which turns with negligible friction. The mass falls at a constant acceleration of 3.50 m/s2. Find the moment of inertia of the pulley. please solveA point mass of 1.50 kg is connected to the end of a 2.00 m long rod of negligible mass. The other end of the rod is fixed tó act as the axis of rotation regarding the mass. Three forces act on the system as show in the diagram below. F1 = 15.0 N @ 40.0° and acts 0.750 m from the axis of rotation F2 4.00 N @ 70.0° and acts 2.00 m from the axis of rotation F = 12.0 N @ 20.0° and acts 0.250 m from the axis of rotation Where the angles are relative to the horizontal. a) What is the Net torque acting? Include the associated direction (CW or CCW)→ answer 1.31 N m CW
- Problem 1 A light rope is fixed to and wound around a pulley of mass Mp = 2.0 kg and radius r = 0.15m. A mass of m = 0.35 kg is hung from the free end of the rope. (A) If the system starts from rest and is able to rotate with negligible friction, how fast will the mass be moving after the pulley has rotated 3/4π radians? Model the pulley as a solid cylinder with the its axle through the center. Hint: Use a conservation of energy approach. Double hint: Using the Hand in Homework procedure is especially helpful for this problem. (B) Is there another set of physics concepts you could use to solve this problem and would this other approach require more or fewer steps?A weight of mass 1.60 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.87 kg and radius 0.540 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Image size: S M L Max m MRProblem 3: The robot shown has five degrees of rotational freedom. The x-y-z axes are attached to the base ring, which rotates about the z-axis at the rate w1. The arm 0,O2 rotates about the x-axis at the rate w2 = è. The control arm 0,A rotates about axis O,-O2 at the rate wz and about a perpendicular axis through O, which is momentarily parallel to the x-axis at the rate w4 = ß. Finally, the jaws rotate about axis Oz-A at the rate w5. The magnitudes of all angular rates are constant. For the configuration shown, determine the magnitude w of the total angular velocity of the jaws for 0 = 60° and ß = 45° if w1 = 2 rad/s , Ô = 1.5 rad/s, and wz = W4 = W5 = 0. Also express the angular acceleration å of arm 0,0, as a vector.