4) A non-conducting spherical shell of inner radius a₁ and outer radius of b₁ is uniformly charged with charged density p₁ inside another non-conducting spherical shell of inner radius a2 and outer radius of b2 that is also uniformly charged with charge density P2. Find the electric field at a space point P at a distance r from the common center such that: b) a₂
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- Review I Constants An electric turntable 0.780 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.210 rev/s. The angular acceleration is 0.918 rev/s?. Part B Through how many revolutions has the blade turned in this time interval? Express your answer in revolutions. V ΑΣφ N = 0.212 rev Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part C What is the tangential speed of a noint on the tin of the blade at time t - 0 206 s2Figure below shows a ring of mass m and radius r= 2.1 m rotating with an initial angular speed w, see figure. Initially, the two point masses, each of mass m/8, are at rest and located at O. These masses can move radially outward along two massless rods fixed on the ring as shown in the figure. At some instant, the angular speed of the system is 8w/9 and one of the masses is at a distance of 3r/5 from O. At this instant, what is the distance of the other mass from O (in m)? The moment of inertia of [the ring is /ing = mr² [10 minutes 9. 3r Before AfterA wheel rolls to the right along a horizontal surface, down a ramp, then continues along a lower horizontalsurface. 1)Draw graphs for the wheel’s angular position, angular velocity, and angular acceleration as functions oftime. 2)If the wheel continues to roll without slipping through an angular displacement ϴ, how could one determine thelinear displacement of the wheel, x?
- What is the linear velocity of a conductor located on the surface of a rotor of radius 20cm and turning at 1800 rpm? Answer must be in rpmAn electric screwdriver has two speeds, each of which exerts a different torque on a screw. Describe what calculations you could use to help you compare the angular momentum of a screw at each speed. What measurements would you need to make in order to calculate this?Problem 3 The pictured homogeneous circular disk of mass m and radius r is supported without friction by the pivot at point A. The circular disk moves under the influence of gravity and is released at time t = 0 from the position e, with initial angular velocity o- Given: m; r; 4o ; 9o ; g; (Initial conditions: (t = 0) = Po , $(t = 0) = 90) Find: Determine, 1. the differential equation of the motion with d'Alembert's principle, 2. the eigenfrequency w as well as the function P(t) under the assumption that the angle p is small.
- A 135kN force is applied as shown below. Compute the moment about the z-axis at A.The project is a circle with a center point (2,2) rolls along the line y=-x two full rotations into the fourth quadrant and stops. Find the coordinates of the center after the circle stops. The answer must be kept as an exact value.