1
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
A uniform rod of length $$\ell$$ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis, then which of the following graphs depicts it most closely?
A
B
C
D
2
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $$\theta$$0. If the person stands up when the swing passes through its lowest point, the work done by him, assuming that his center of mass moves by a distance $$\ell$$($$\ell$$ << L), is close to;
A
mg$$\ell$$(1 + $$\theta$$02)
B
mg$$\ell$$
C
mg$$\ell$$(1 + $${{\theta _0^2} \over 2}$$)
D
mg$$\ell$$(1 - $$\theta$$02)
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25 rotations per second in 5s, is close to :
A
7.9 × 10–6 Nm
B
4.0 × 10–6 Nm
C
2.0 × 10–5 Nm
D
1.6 × 10–5 Nm
4
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of $${{7M} \over 8}$$ and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere. Let I1 be the moment of inertia of the disc about its axis and I2 be the moment of inertia of the new sphere about its axis. The ratio I1/I2 is given by :
A
65
B
140
C
185
D
285
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