In the figure, a small 0.123 kg block slides down a frictionless surface through heighth = 0.643 m and then sticks to a uniform vertical rod of mass M = 0.246 kg and length d = 2.14 m. The rod pivots about point O through angle 6 before momentarily stopping. Find 0. Number i Units (degrees) 54°E
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- In a popular game show, contestants give the wheel a spin and try to win money and prizes! The wheel is given a rotational velocity and this rotation slows down over time and the wheel eventually stops. One contestant gives the wheel an initial angular velocity (ωi).. Because of friction, the wheel eventually comes to rest (ωf = 0 radians/sec) in time t. c.)What is the Δθ of the wheel as it comes to a stop?R M A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle 0 = 30°. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is u = 0.64. What is the magnitude of the frictional force on the sphere? Ff =A bicycle racer is going downhill at 12.9 m/s when, to his horror, one of his 2.27 kg wheels comes off when he is 80.0 m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0 cm in diameter and neglect the small mass of the spokes. Part A How fast is the wheel moving when it reaches the foot of the hill if it rolled without slipping all the way down? Η ΑΣΦ V₁ = 28.0 ? m/s Submit Previous Answers Request Answer × Incorrect; Try Again Part B How much total kinetic energy does the wheel have when it reaches the bottom of the hill? ΜΕ ΑΣΦ Ke 1780 Submit Previous Answers Request Answer × Incorrect; Try Again ? J
- HELP WITH THIS PLEASE, DO NOT DO b ONLY THE OTHERChapter 11, Problem 066 GO Your answer is partially correct. Try again. In the figure, a small 0.109 kg block slides down a frictionless surface through height h = 1.46 m and then sticks to a uniform vertical rod of mass M = 0.218 kg and length d = 1.55 m. The rod pivots about point O through angle e before momentarily stopping. Find 0. Number Units (degrees) em the tolerance is +/-2% em Click if you would like to Show Work for this question: Open Show WorkTo study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. 1. Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. 2. Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.03 m, ry = 0.035 m, rz = 0.085 m, Fx = 2.8 N, Fy = 4.8 N, Fz = 5.8 N. 3. If the moment of inertia of the beam with respect to the pivot is I = 71 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
- Physics sample problems about vectors. Thought I knew how to do them but keep getting wrong answers.Given M = î + 5 j - 6 k and N = 2 î - 2 j - 3 k, calculate the vector product M × N. Î + +Consider the two vectors A= 12i + 5j and B = -3i. What is the cross product Ax B? O51 k none of the answers -15k O 15 j 15 k O.51 k -21 O 21 k -51
- The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.The mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.Crank OA is rotating at a counterclockwise angular rate of 9.4 rad/s, and this rate is decreasing at 4.3 rad/s². Determine the angular acceleration AB of link AB for the position shown. The angular acceleration AB is positive if counterclockwise, negative if clockwise. 100 mm 9.4 rad/s 85 mm Answer: CAB= 38° G AB=210 mm B rad/s²Let's consider two vectors, A = (-7, 10), B = (-5, -8), and C = (-1, 6) as shown below. A C B What is the magnitude of A+ B+ C? Answer What is the direction (8) of A+B+C relative to +x-axis? a-839 b. 20 C-85 3 d. 148°