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question_answer1)
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be [CBSE PMT 1993; CPMT 1972, 75, 82; MP PMT 1996; AIEEE 2003]
A)
P done
clear
B)
\[\frac{Pm}{M+m}\] done
clear
C)
\[\frac{PM}{M+m}\] done
clear
D)
\[\frac{Pm}{M-m}\] done
clear
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question_answer2)
A rope of length L is pulled by a constant force F. What is the tension in the rope at a distance x from the end where the force is applied [MP PET 1996, 97, 2000]
A)
\[\frac{FL}{x}\] done
clear
B)
\[\frac{F(L-x)}{L}\] done
clear
C)
\[\frac{FL}{L-x}\] done
clear
D)
\[\frac{Fx}{L-x}\] done
clear
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question_answer3)
Three equal weights A, B and C of mass 2 kg each are hanging on a string passing over a fixed frictionless pulley as shown in the figure The tension in the string connecting weights B and C is [MP PET 1985; SCRA 1996]
A)
Zero done
clear
B)
13 N done
clear
C)
3.3 N done
clear
D)
19.6 N done
clear
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question_answer4)
Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of 5 kg mass is
A)
\[49\,m/{{s}^{2}}\] done
clear
B)
\[5.44\,m/{{s}^{2}}\] done
clear
C)
\[19.5\,m/{{s}^{2}}\] done
clear
D)
\[2.72\,m/{{s}^{2}}\] done
clear
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question_answer5)
Two masses 2 kg and 3 kg are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are
A)
\[\frac{7g}{8};\,\frac{g}{8}\] done
clear
B)
\[\frac{21g}{8};\,\frac{g}{8}\] done
clear
C)
\[\frac{21g}{8};\,\frac{g}{5}\] done
clear
D)
\[\frac{12g}{5};\,\frac{g}{5}\] done
clear
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question_answer6)
Three blocks A, B and C weighing 1, 8 and 27 kg respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. \[{{T}_{3}}\] is equal to 36 N. Then \[{{T}_{2}}\] is [EAMCET 1983]
A)
18 N done
clear
B)
9 N done
clear
C)
3.375 N done
clear
D)
1.25 N done
clear
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question_answer7)
Two bodies of mass 3 kg and 4 kg are suspended at the ends of massless string passing over a frictionless pulley. The acceleration of the system is \[(g=9.8\,m/{{s}^{2}})\] [MP PET 1994; CBSE PMT 2001]
A)
\[4.9\,m/{{s}^{2}}\] done
clear
B)
\[2.45\,m/{{s}^{2}}\] done
clear
C)
\[1.4\,m/{{s}^{2}}\] done
clear
D)
\[9.5\,m/{{s}^{2}}\] done
clear
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question_answer8)
Three solids of masses \[{{m}_{1}},\,{{m}_{2}}\] and \[{{m}_{3}}\] are connected with weightless string in succession and are placed on a frictionless table. If the mass \[{{m}_{3}}\] is dragged with a force T, the tension in the string between \[{{m}_{2}}\] and \[{{m}_{3}}\] is [MP PET 1995]
A)
\[\frac{{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}T\] done
clear
B)
\[\frac{{{m}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}T\] done
clear
C)
\[\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}T\] done
clear
D)
\[\frac{{{m}_{2}}+{{m}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}T\] done
clear
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question_answer9)
Three blocks of masses \[{{m}_{1}},\,{{m}_{2}}\] and \[{{m}_{3}}\] are connected by massless strings as shown on a frictionless table. They are pulled with a force \[{{T}_{3}}=40\,N\]. If \[{{m}_{1}}=10\,kg,\,{{m}_{2}}=6\,kg\] and \[{{m}_{3}}=4\,kg\], the tension \[{{T}_{2}}\] will be [MP PMT/PET 1998]
A)
20 N done
clear
B)
40 N done
clear
C)
10 N done
clear
D)
32 N done
clear
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question_answer10)
A block of mass \[{{m}_{1}}\] rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass \[{{m}_{2}}\]. The acceleration of the system is [EAMCET (Med.) 1995; DPMT 2000]
A)
\[\frac{{{m}_{2}}g}{({{m}_{1}}+{{m}_{2}})}\] done
clear
B)
\[\frac{{{m}_{1}}g}{({{m}_{1}}+{{m}_{2}})}\] done
clear
C)
g done
clear
D)
\[\frac{{{m}_{2}}g}{{{m}_{1}}}\] done
clear
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question_answer11)
A 2 kg block is lying on a smooth table which is connected by a body of mass 1 kg by a string which passes through a pulley. The 1 kg mass is hanging vertically. The acceleration of block and tension in the string will be [RPMT 1997]
A)
\[3.27\,m/{{s}^{2}},\,6.54\,N\] done
clear
B)
\[4.38\,m/{{s}^{2}},\,6.54\,N\] done
clear
C)
\[3.27\,m/{{s}^{2}},\,9.86\,N\] done
clear
D)
\[4.38\,m/{{s}^{2}},\,9.86\,N\] done
clear
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question_answer12)
A light string passes over a frictionless pulley. To one of its ends a mass of 6 kg is attached. To its other end a mass of 10 kg is attached. The tension in the thread will be [RPET 1996; JIPMER 2001, 02]
A)
24.5 N done
clear
B)
2.45 N done
clear
C)
79 N done
clear
D)
73.5 N done
clear
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question_answer13)
Two masses of 5kg and 10kg are connected to a pulley as shown. What will be the acceleration of the system \[(g=\]acceleration due to gravity) [CBSE PMT 2000]
A)
\[g\] done
clear
B)
\[\frac{g}{2}\] done
clear
C)
\[\frac{g}{3}\] done
clear
D)
\[\frac{g}{4}\] done
clear
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question_answer14)
A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g = 10\[m{{s}^{-2}})\] [Kerala (Engg.) 2000]
A)
\[100\,m{{s}^{-2}}\] done
clear
B)
\[3m{{s}^{-2}}\] done
clear
C)
\[10m{{s}^{-2}}\] done
clear
D)
\[30m{{s}^{-2}}\] done
clear
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question_answer15)
Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \[F=10N,\] then tension \[{{T}_{1}}=\] [Orissa JEE 2002]
A)
1N done
clear
B)
5 N done
clear
C)
8 N done
clear
D)
10 N done
clear
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question_answer16)
Two masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are attached to a string which passes over a frictionless smooth pulley. When \[{{m}_{1}}=10kg,\] \[{{m}_{2}}=6kg,\,\]the acceleration of masses is [Orissa JEE 2002]
A)
20 \[m/{{s}^{2}}\] done
clear
B)
\[5m/{{s}^{2}}\] done
clear
C)
2.5 \[m/{{s}^{2}}\] done
clear
D)
\[10m/{{s}^{2}}\] done
clear
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question_answer17)
A body of weight 2kg is suspended as shown in the figure. The tension \[{{T}_{1}}\] in the horizontal string (in kg wt) is [Kerala PMT 2002]
A)
\[2/\sqrt{3}\] done
clear
B)
\[\sqrt{3}/2\] done
clear
C)
\[2\sqrt{3}\] done
clear
D)
\[2\] done
clear
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question_answer18)
One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. with what value of minimum safe acceleration (in \[m{{s}^{-2}})\] can a monkey of \[60\,kg\] move down on the rope [AIEEE 2002]
A)
16 done
clear
B)
6 done
clear
C)
4 done
clear
D)
8 done
clear
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question_answer19)
A light string passing over a smooth light pulley connects two blocks of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] (vertically). If the acceleration of the system is g/8 then the ratio of the masses is [AIEEE 2002]
A)
8 : 1 done
clear
B)
9 : 7 done
clear
C)
4 : 3 done
clear
D)
5 : 3 done
clear
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question_answer20)
Two masses \[{{m}_{1}}=5\,kg\] and \[{{m}_{2}}=4.8\,kg\] tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when they are free to move \[(g=9.8\,\,m/{{s}^{2}})\] [AIEEE 2004]
A)
\[0.2\,\,m/{{s}^{2}}\] done
clear
B)
\[9.8\,\,m/{{s}^{2}}\] done
clear
C)
\[5\,\,m/{{s}^{2}}\] done
clear
D)
\[4.8\,\,m/{{s}^{2}}\] done
clear
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question_answer21)
A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read respectively [AIIMS 1995]
A)
4 kg and zero kg done
clear
B)
Zero kg and 4 kg done
clear
C)
4 kg and 4 kg done
clear
D)
2 kg and 2 kg done
clear
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question_answer22)
Two masses M and M/2 are joint together by means of a light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released the small one will ascend with an acceleration of [Kerala PET 2005]
A)
\[g/3\] done
clear
B)
\[3g/2\] done
clear
C)
\[g/2\] done
clear
D)
\[g\] done
clear
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question_answer23)
Two masses \[{{m}_{1}}\]and \[{{m}_{2}}\left( {{m}_{1}}>{{m}_{2}} \right)\]are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is [J&K CET 2005]
A)
\[{{\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)}^{2}}g\] done
clear
B)
\[\frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}g\] done
clear
C)
\[\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}-{{m}_{2}}}g\] done
clear
D)
Zero done
clear
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