Unformatted text preview: more . . 70 Classical Mechanics Mi LLi A charged particle is at rest at the origin at time t = 0 in a uniform
electric ﬁeld E directed aiong z:  direction and a. uniform magnetic H
along y direction. Calculate the trajectory of the particle. (11 70) Z :
of! {1b '1 2.. Due to the rotation of the earth about its axis any freely falling body
L ‘ f. deviates from the vertical line. ﬁnd this deviation if the initial velocity
Z M‘ ' is zero and the height IS h. Ignore air resistance. (11 970)
E Construct the motion equation for small oscillations of a simple pendu
lum Whose point of suspension moves along the vertical line according
to the law 25—  acos out. the mass of the pen3111um 15 m and its length
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