SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

A small ball of mass  is attached with upper end of a uniform straight rod of equal mass  and length  The rod is held vertical over a smooth horizontal surface as shown in fig. When the system is released, the lower end slips freely and the systems falls down. Assuming the initial position of the lower end to be origin and initially rod to be along -axis as shown in fig., the equation of trajectory of point  of the rod (  is at distance  from the lower end)is

a)

b)

c)

d)


Question ID - 100141 :-

A small ball of mass  is attached with upper end of a uniform straight rod of equal mass  and length  The rod is held vertical over a smooth horizontal surface as shown in fig. When the system is released, the lower end slips freely and the systems falls down. Assuming the initial position of the lower end to be origin and initially rod to be along -axis as shown in fig., the equation of trajectory of point  of the rod (  is at distance  from the lower end)is

a)

b)

c)

d)

1 Answer
5876 Votes
3537

Answer Key : (b) -

(b)

Since the floor is smooth, therefore no horizontal force is acting on the system. Only three forces are acting on it, weight of the ball, weight  of the rod and vertically upward reaction of the floor

Since the rod is released from rest and no horizontal force is acting on it, therefore centre of mass of the system will not displace horizontally; it means it will fall vertically downward

Since masses of the rod and ball are equal, therefore centre of mass ‘ ’ is at mid-point of centre of the rod and the ball; it means at distance  from the ball or 3/4 from the lower end

If at an instant the rod makes angle  with the vertical, then point  and the system will be as shown in the figure

Co-ordinates of the point  are

Using  we have



Next Question :

In concave mirror the object is placed beyond C. Then the nature and size of the image formed is

(a)

Real, erect and diminished

(b)

Real, inverted and diminished

(c)

Virtual, erect and magnified

(d)

Real, inverted and magnified


View Topper Answer

We hope we have given the updated helpful answer / content for your query in an easily accessible format to help you in preparing adequately. We do offer free support materials, 10th maths guide, 10th science guide, 10th tamil guide, 10th social guide, 10th english guide, science 10th guide and also for all the classes books and guide to all the students who sign up for SaraNextGen. Apart from traditional textbook queries, we've got conjointly provided further high order level thinking issues, that are seemingly to be expected in boards and competitive exams. It includes conceptual queries, MCQs, Long and short answer type queries, etc. These Questions are designed to learn each student and academics by providing chapter-wise further issues focusing totally on testing conceptual information with applications. Here, we've got provided a number of the necessary ways in which within which the solutions of all the Questions will profit students of class 1 to 12. If you have any queries, drop a message to us and we will get back to you at the earliest.


SaraNextGen