Centre of Mass & Rotational Motion · JEE Main previous year questions

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2017 6 questions

Q482017 · 9 Apr 2017 · Shift 1
1. A.Constant speed
2. B.decreasing speed
3. C.increasing speed
4. D.speed which is $\frac{3}{4} th$ of that of the roller when the weight is 0.4 m above the ground
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Answer: B
Q502017 · 9 Apr 2017 · Shift 1
1. A. $\frac{219 M R ^{2}}{256}$
2. B. $\frac{237 M R ^{2}}{512}$
3. C. $\frac{19 M R ^{2}}{512}$
4. D. $\frac{197 M R ^{2}}{256}$
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Answer: B
Q352017 · 8 Apr 2017 · Shift 1
1. A. $\frac{7}{8} I_{0}$
2. B. $\frac{15}{16} I_{0}$
3. C. $\frac{3 I _{o}}{4}$
4. D. $\frac{31 I _{o}}{32}$
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Answer: B
Q372017 · 8 Apr 2017 · Shift 1
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by $Δ T$ . The net change in its length is zero. Let $ℓ$ be the length of the rod, A its area of cross-section,Y its Young's modulus, and $α$ its coefficient of linear expansion. Then, F is equal to :
1. A. $ℓ^{2} Y α Δ T$
2. B. $ℓ A Y α Δ T$
3. C. $A Y α Δ T$
4. D. $\frac{AY}{α Δ T}$
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Answer: C
Q462017 · 8 Apr 2017 · Shift 1
1. A. $\frac{2 m g}{2 m + M}$
2. B. $\frac{2 M g}{2 m + M}$
3. C. $\frac{2 m g}{2 M + m}$
4. D. $\frac{2 M g}{2 M + m}$
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Answer: A
Q572017 · 8 Apr 2017 · Shift 1
If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh $\frac{3}{4} W$ . Radius of the Earth is 6400 km and $g = 10 m/ s^{2}$ .
1. A. $1.1 \times 1 0^{- 3} rad/s$
2. B. $0.83 \times 1 0^{- 3} rad/s$
3. C. $0.63 \times 1 0^{- 3} rad/s$
4. D. $0.28 \times 1 0^{- 3} rad/s$
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Answer: C