Question
A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin disk of mass 'M' and radius 'R' is attached at its center to the free end of the rod. Consider two ways the disc is attached: (case A) The disc is not free to rotate about its center and (case B) the disc is free to rotate about its center. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true ?
Found 4 tutors discussing this question
Discuss this question LIVE
9 mins ago
Filo tutor solution
Learn from their 1-to-1 discussion with Filo tutors.
Generate FREE solution for this question from our expert tutors in next 60 seconds
Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7
Practice questions from similar books
Question 1
Let be given by thenis an odd functionis a one-one functionis an onto functionis an even functionQuestion 2
A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the parabola at the point art . The tangent to the parabola at intersects the y-axis at . The slope m of the line L is chosen such that the area of the triangle EFG has a local maximum P) m= Q) = Maximum area of is (R) (S) Question 3
Let be the origin, and be three unit vectors in the direction of the sides , , , respectively of a triangle PQR. (b) (d) Question 4
Let `f(x)``=x+log_ex-xlog_ex ,x(0,oo)dot`Column 1 contains information about zeros of `f^(prime)(x)f^(prime)(x)a n df^(x)dot`Column 2 contains information about the limiting behaviour of `f^(prime)(x)f^(prime)(x)a n df^(x)`at infinity.Column 2 contains information about the increasing/decreasing nature of `f(x)a n df^(prime)(x)dot`Column I, Column 2, Column 3I, `f(x)=0forsom ex(l , e^2)`, (i), `("lim")_("x"vecoo"")f^(prime)(x)=0`, (P), `f`is increasing in (0,1)II, `f'(x)=0forsom ex(l , e)`, (ii), `("lim")_("x"vecoo"")f^(x)=-oo`, (Q), `f`is decreasing in `(e ,e^2)`III, `f'(x)=0forsom ex(0,1)`, , `("lim")_("x"vecoo"")f^(prime)(x)=-oo`, (R), `f`is increasing in (0,1)IV, `f^(' '(x))=0forsom ex(1, e)`, , `("lim")_("x"vecoo"")f^prime^'(x)=0`, (S), `f`is decreasing in (`e , e^2`)Which of the following options is the only CORRECT combination?(I) (ii) (P) (b) (IV) (iv) (S) (III) (iii) (R) (d) (II) (ii) (Q)Which of the following option is the only incorrect combination?(III) (i) (R) (b) (I) (iii) (P)(II) (iii) (P) (d) (II) (iv) (Q)Which of the following options is the only CORRECT combination?(I) (ii) (R) (b) (II) (iii) (S)(III) (iv) (P) (d) (IV) (i) (S)Question Text | A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin disk of mass 'M' and radius 'R' is attached at its center to the free end of the rod. Consider two ways the disc is attached: (case A) The disc is not free to rotate about its center and (case B) the disc is free to rotate about its center. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true ? |