The parametric curve
r=(2t2+8t−5,−2cos(πt),t3−28t)r=(2t2+8t−5,−2cos(πt),t3−28t) crosses
itself at one and only one point. The point is (x,y,z)=(x,y,z)= ( ,
, ). Let θθ be the acute angle between the two tangent lines to the
curve at the crossing point. Then cos(θ)=cos(θ)=
(1 point) The parametric curve r (2128t 5,-2 cos(t), 281) crosses itself at one and only one point. The point...
1 At the instant shown, determine velocity and a-2 rad/s acceleration vectors of point A. Use the coordinate system given. a= 5 rad/s2 0.7 m L-x 18° 120° 0.3 m
There is a pendulum with a particle of 2 kg attached to the end of a string of 1.5 m. At the lowest point, the velocity of the particle is 4.6 m/s. Determine the kinetic energy at the instant when the rope makes a 35° angle with the vertical.
Tesla is one of the newest electric car manufactures, what would the experts recommend through channels on msrketing?
(2.1) (20 points) A spin 1/2 particle is in an eigenstate of Sy with eigenvalue h/2 at the initial time t = 0. At that time, it is placed in a magnetic induction B = B2, and it is then allowed to precess in that induction for the time T. Then, at that instant T, B is instantaneously rotated from...
A 0.392 m long metal bar is pulled to the left by an force F . The bar rides on parallel metal rails connected through a 48.4 Ω resistor, as shown in the following figure(Figure 1), so the apparatus makes a complete circuit. You can ignore the resistance of the bar and rails. The circuit is in a uniform 0.638...
Question 2: (Total 20 marks. Each question is worth 5 marks each) A. A flexible container is filled with Hydrogen gas at room temperature and the container is squeezed to one- third its volume. Explain how the pressure of the Hydrogen gas molecules in the flexible container will be affected by the change in volume? B. Device A with a...
typically the electric forces are greater than the magnetic ones. Let’s consider two parallel wires, placed at a distance d, each holding a constant line charge λ. Both wires move along their own axis at a speed v, therefore remaining in the same position (they are infinitely long) but creating a magnetic field. The two wires therefore repel each other...
Four liquids are described in the table below. Use the second column of the table to explain the order of their freezing points, and the third column to explain the order of their boiling points. For example, select '1' in the second column next to the liquid with the lowest freezing point. Select '2' in the second column next to...
3. (a) Ampère's law can be written in the following form: $6.d1= B.d = Hol. Use this to show that the magnetic field B inside a toroidal-shaped solenoid, with n turns per unit length and carrying a current I, has a magnitude equal to Monl. Explain how you result can be used to obtain the magnetic field inside a long...