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Unformatted text preview: PHYSICS C
SE'TEGE ii, MECHANECS
Time45 minutes 3 Questions ANSWER ALL OF THE QUESTIONS. THE QUESTIONS HAVE EQUAL WEIGHT. SHOW YOUR WORK. CREDIT
FOR YOUR ANSWERS DEPENDS ON THE QUALITY OF YOUR EXPLANATIONS. Mech. i. A pendulum consisting of a small heavy ball of mass m at the end of a string of length I is released from a horizontal position. When the ball is at point P, the string forms an angle of 30° with the horizontal as shown
above. (a) In the space below, draw a force diagram showing all of the forces acting on the ball at P. Identify each
force clearly. (b) Determinethespeedofthebauat P.
( c) Determine the tension in the string when the ball is at P.
(d) Determine the tangential acceleration of the ball at P. Copyright © 1974 Dy Edmund Testing Service. All rights mama. Mech. 2. / /,_/ The moment of inertia of a uniform solid sphere (mass M, radius R) about a diameter is givh'iz. 'I'ne sphere is placed on an inclined plane (angle 9) as shown above and released from rest.
(a) Determine the minimum coefficient of friction it between the sphere and plane with which the sphere will
roll down the incline without slipping. (b) If u were zero, would the speed of the sphere at the bottom be greater, smaller, or the same as in
part (a) ? Explain your answer. Mech. 3. k / A system consists of two blocks, each of mass M, connect initially shoved against a wall so that the spring is compressed at distance D from its original uncompressed
length. The ﬂoor is frictionless. The system is now released with no initial velocity.
( 3) Determine the maximum speed of the righthand block. (b) Determine the speed of the center of mass of the syntem when the lefthand block is no longer in contact
with the wall. (c) Determine the period of oscillation for the system when the lefthand block is no longer in contact with
the wall. M PHYSICS C
SECTION ll, ELECTRICITY AND MAGNETISM
Time—45 minutes
3 Questions ANSWER ALL OF THE QUESTIONS. THE QUESTIONS HAVE EQUAL WEIGHT. SHOW YCXJR WORK. CREDIT
FOR YCUR ANSWERS DEPENDS ON THE QUALITY OF YOUR EXPLANATIONS. / mo) \./0
\i / V7 Two concentric conducting spherical shells of radii a and b have charges Of equal magnitude and opposite
sign as shown above. (a) Determine the electric field at a distance r from the center. Give separate expressions for r < a,
a<r <b, and r>b. (b) Determine the electric potential at r = h and at r = a, taking the potential equal to zero at inﬁnity. E&M2. :Atea= A I I A parallelplate capacitor with spacing b and area A is connected to a battery of voltage V as shown above Initially the space between the plates is empty. Make the following determinations in terms of the given
symbols. (:1) Determine the electric ﬁeld between the plates.
(b) Determine the charge stored on each capacitor plate. A copper slab of thickness a is now inserted midway between the plates as shown below. Atea=A I I ;—_ ':_:j ".'.' b "L+
T' ' _1 TV
l_____l (c) Determine the electric field in the spaces above and below the slab. (d) Determine the ratio of capacitances $1125? when the slab is inserted.
Uorigi Copyright © 1974 by Educational Testing Service. All rights reserved. 11 1111
IrF :
4:» A small circular loop of wire with radium r is: placed at the center at! a large circular leap of wire with
radius R. The two loops lie in the same plane, and r << R. In the outer loop there is a sinusoidal
current I = [0 sin wt, where t is time and In and co are constants. Find an expression for the induced
emf in the inner loop. Copyright © 1974 by Educallonai Testing Service. All rlghts reserved. ...
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