The double collar C is pin connected together such that one collar slides over the fixed rod and the other slides over the rotating rod AB. If the angular velocity of AB is given as u # = (e0.5 t 2 ) rad>s, where t is in seconds, and the path defined by the fixed rod is r = |(0.4 sin u + 0.2)| m, determine the radial and transverse components of the collars velocity and acceleration when t = 1 s. When t = 0, u = 0. Use Simpsons rule with n = 50 to determine u at t = 1 s.
4) We saw in class that an electron wavefunction can actually extend through a classically forbidden region of space (potential barrier) where the potential energy is higher than the electron’s kinetic energy. This process is called quantum mechanical tunneling. In the lecture notes, we plotted th e tunneling probability for an electron as a function of barrier height and width. Using this plot, (a.) what will the probability be of finding an electron on the other side of a potential barrier 1 nm wide if its potential height is 0.5 eV higher than the kinetic energy of the electron (b.) What is the probability if the barrier is the same height as before but 5 nm wide (c.) What is the tunneling probability for a 2 nm wide barrier if the difference between electron