Consider the motion of a cylinder of mass m and radius r moving up an inclined plane
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Consider the motion of a cylinder of mass m and radius r moving up an inclined plane at angle 0 to the horizontal.
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37. Consider the motion of a cylinder of mass m and radius r moving up a inclined plane at angle 0 to the horizontal. To begin with, the cylinder rotates with angular velocity , about its axis when gently placed on the plane so that its initial translation velocity is zero. Find the distance moved by the cylinder before sliding stops. 1)@r² (μcos0-sine) 2g (3μ cos 0-sin0)² 39 3)²μcos- sin 0 2g 3μ cos 0-sin 0, μcos-sin0 3μ cos 0-sin 0, 38 A uniform rod AB of length = 44 cm and radius R = 25 cm of a hemispherical bowl remains in equilibrium in the bowl as shown. Neglecting friction find the inclination of the rod with the horizontal. Assume hemisphere to be fixed. r. Sec: Jr.Super60 Sri Chaitanya IIT Academy @r² (u cos 0-sin 0) g 3μ cos0-sin 0 137⁰ 2)53⁰ 3) 30⁰ 4) 65⁰ iwo equal uniform rods, AB, BC, each of length 2a and mass m, are hinged together smoothly at B, and are in one straight line at rest. An impulse of magnitude P is applied at C perpendicular to the line of the rods as shown in the figure. On rod AB at B, an impulse Q is imparted by rod BC and it's reaction will appear on rod BC towards left as shown. w, and w,are final angular velocities of each rod. The magnitude of Q is P 2) ²/ 3 1) Ic > ID -In Space for Rough Work B 19-09-2020 Jr.Super60(In Com)_Jee-Main_UTM-06_Q.P ΠΑ @ B P P 2 4 40. Two uniform triangular plates ABC and ABD of the same thickness, height and made of the same material are shown in the figure. If moment of inertias of these plates about the axis PQ are I and I, which of the following statements is true? A 2) Ic <ID BQ Page 11 P 8 4) 37. Consider the motion of a cylinder of mass m and radius r moving up a inclined plane at angle 0 to the horizontal. To begin with, the cylinder rotates with angular velocity , about its axis when gently placed on the plane so that its initial translation velocity is zero. Find the distance moved by the cylinder before sliding stops. 1)@r² (μcos0-sine) 2g (3μ cos 0-sin0)² 39 3)²μcos- sin 0 2g 3μ cos 0-sin 0, μcos-sin0 3μ cos 0-sin 0, 38 A uniform rod AB of length = 44 cm and radius R = 25 cm of a hemispherical bowl remains in equilibrium in the bowl as shown. Neglecting friction find the inclination of the rod with the horizontal. Assume hemisphere to be fixed. r. Sec: Jr.Super60 Sri Chaitanya IIT Academy @r² (u cos 0-sin 0) g 3μ cos0-sin 0 137⁰ 2)53⁰ 3) 30⁰ 4) 65⁰ iwo equal uniform rods, AB, BC, each of length 2a and mass m, are hinged together smoothly at B, and are in one straight line at rest. An impulse of magnitude P is applied at C perpendicular to the line of the rods as shown in the figure. On rod AB at B, an impulse Q is imparted by rod BC and it's reaction will appear on rod BC towards left as shown. w, and w,are final angular velocities of each rod. The magnitude of Q is P 2) ²/ 3 1) Ic > ID -In Space for Rough Work B 19-09-2020 Jr.Super60(In Com)_Jee-Main_UTM-06_Q.P ΠΑ @ B P P 2 4 40. Two uniform triangular plates ABC and ABD of the same thickness, height and made of the same material are shown in the figure. If moment of inertias of these plates about the axis PQ are I and I, which of the following statements is true? A 2) Ic <ID BQ Page 11 P 8 4)
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