3. A hemispherical shell of mass m and radius R is hinged at point O and placed on a horizontal surface. A ball of mass m moving with velocity u inclined at an angle e = tan strikes the shell at point A (as shown in the figure) and stops. What is the minimum speed u if the given shell is to reach the horizontal surface OP? (a) zero 2gR (b) 3 (d) not possible 4. A wedge B of mass M is placed on a smooth horizontal mass M and radius R which is kept over the wedge and other end of the string is connected to block C of mass M passing over an ideal pulley as shown in the figure. If system is released from rest then after how much time the block C will hit the wedge. Friction between cylinder and wedge is sufficient to prevent slipping. All other surfaces are friction A M B M Entrase g (a) 2H (b) 3H 4H g 5. A long solenoid of cross-sectional radius R has a thin insulated wire ring tightly put on its winding. One half of the ring has the resistance 10 times that of the other half. The magnetic induction produced by the solenoid varies with time as B = bt, whose b is a constant. Find the magnitude of the electric field strength in the ring. 9 Rb (a) 9 11 (b) Rb Entran (c) 9 Rb 22 EntraRs Space for rough work Entrance Entrance

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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3.
A hemispherical shell of mass m and radius R is
hinged at point O and placed on a horizontal
surface. A ball of mass m moving with velocity u
inclined
at
an angle e = tan
strikes the shell
at point A (as shown in the figure) and stops. What
is the minimum speed u if the given shell is to reach
the horizontal surface OP?
(a) zero
2gR
(b)
3
(d) not possible
4.
A wedge B of mass M is placed on a smooth horizontal
mass M and radius R which is kept over the wedge and
other end of the string is connected to block C of mass
M passing over an ideal pulley as shown in the figure. If
system is released from rest then after how much time
the block C will hit the wedge. Friction between cylinder
and wedge is sufficient to prevent slipping. All other
surfaces are friction
A
M
B
M
Entrase
g
(a)
2H
(b)
3H
4H
g
5.
A long solenoid of cross-sectional radius R has a thin insulated wire ring tightly put on its
winding. One half of the ring has the resistance 10 times that of the other half. The magnetic
induction produced by the solenoid varies with time as B = bt, whose b is a constant. Find the
magnitude of the electric field strength in the ring.
9 Rb
(a)
9
11
(b)
Rb
Entran
(c) 9 Rb
22
EntraRs
Space for rough work
Entrance
Entrance
Transcribed Image Text:3. A hemispherical shell of mass m and radius R is hinged at point O and placed on a horizontal surface. A ball of mass m moving with velocity u inclined at an angle e = tan strikes the shell at point A (as shown in the figure) and stops. What is the minimum speed u if the given shell is to reach the horizontal surface OP? (a) zero 2gR (b) 3 (d) not possible 4. A wedge B of mass M is placed on a smooth horizontal mass M and radius R which is kept over the wedge and other end of the string is connected to block C of mass M passing over an ideal pulley as shown in the figure. If system is released from rest then after how much time the block C will hit the wedge. Friction between cylinder and wedge is sufficient to prevent slipping. All other surfaces are friction A M B M Entrase g (a) 2H (b) 3H 4H g 5. A long solenoid of cross-sectional radius R has a thin insulated wire ring tightly put on its winding. One half of the ring has the resistance 10 times that of the other half. The magnetic induction produced by the solenoid varies with time as B = bt, whose b is a constant. Find the magnitude of the electric field strength in the ring. 9 Rb (a) 9 11 (b) Rb Entran (c) 9 Rb 22 EntraRs Space for rough work Entrance Entrance
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