A rod of mass m and length L is pivoted ...

A rod of mass `m` and length `L` is pivoted at the bottommost point `O` and can freely rotate about the point `O`. The rod is disturbed from the vertical position so that it starts rotating about `O`. When it makes an angle `theta` with the vertical

The angular acceleration of rod will be `(3)/(2L)gsintheta`

Acceleration of centre of mass of rod can be in vertical direction

Net acceleration of centre of mass of rod can't be in horizontal direction

The tangential acceleration of centre of mass of rod will be `(3)/(2)gsintheta`

Text Solution

Verified by Experts

Topper's Solved these Questions

SYSTEM OF PARTICLES AND ROTATIONAL MOTION
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - D) Linked Comprehension Type Questions|20 Videos
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - E) Assertion-Reason Type Questions|12 Videos
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (One option is correct)|60 Videos
SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
TEST 1
AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

A rod of mass m and length L is pivoted at a point O and kept in horizontal position as shown in figure. Now it is released from this position so that it can rotates freely about the point O in downward direction. When it becomes vertical

A uniform rod of mass m and length l_(0) is rotating with a constant angular speed omega about a vertical axis passing through its point of suspension. Find the moment of inertia of the rod about the axis of rotation if it make an angle theta to the vertical (axis of rotation).

A rod of length l is pivoted about a horizontal , frictionless pin through one end. The rod is released from ret in a vertical position. Find the velocity of the CM of the rod when the rod is inclined at an angle theta from the vertical.

A uniform rod of mass m and length L is hinged about one end and can freely rotate in a vertical plane. The angular velocity of the rod, when it falls from position P to Q. through an angle alpha starting from rest, is

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane, Fig. There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle theta with the vertical is

A uniform rod of mass m and length l is fixed from Point A , which is at a distance l//4 from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, when kinetic energy of the rod is maximum?

A uniform rod of length l is from rest such that it rotates about a smooth pivot. The angular speed of the rod when it becomes vertical is. .

A uniform rod of mass m and length l is applied pivoted at point O . The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O this causes the block to move forward as shown The rod loses contact with the block at theta=30^(@) all surfaces are smooth now answer the following questions. Q. The hinge reaction at O on the rod when it loses contact with the block is

A uniform rod of mass m and length l is applied pivoted at point O . The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O this causes the block to move forward as shown The rod loses contact with the block at theta=30^(@) all surfaces are smooth now answer the following questions. Q. The acceleration of centre of mass of rod, when it loses contact with the block is

A uniform rod of mass m and length l is applied pivoted at point O . The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O this causes the block to move forward as shown The rod loses contact with the block at theta=30^(@) all surfaces are smooth now answer the following questions. Q. The velocity of block when the rod loses contact with the block is

AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - C) Objective Type Questions (More than one option are correct)

Two projectiles collide in air, then for just after and before the col...
Text Solution
|
Two particles A and B of masses 2kg and 3kg moving on a smooth horizon...
Text Solution
|
A particle strikes a smooth horizontal surface at an angle theta gt 0 ...
Text Solution
|
A girl throws the ball with horizontal velocity 2m//s at the moment t=...
Text Solution
|
A fan is switched on and it accelerates at a constant angular accelera...
Text Solution
|
A block of mass m is connected to another block of mass M by a massles...
Text Solution
|
A disc of mass M and radius R as shown in figure has some points on it...
Text Solution
|
A rod of mass m and length L is pivoted at the bottommost point O and ...
Text Solution
|
A rod of mass m and length L is pivoted at a point O and kept in horiz...
Text Solution
|
A horizontal rod of mass M and length L is tied to two verticle string...
Text Solution
|
A disc of radius R is moving on a rough horizontal surface with veloci...
Text Solution
|
A disc of given some velocity up the incline so that it goes up, stops...
Text Solution
|
A ring of mass m and radius R is placed on a rough horizontal surface ...
Text Solution
|
A solid sphere of mass m and radius R is released from top of an incli...
Text Solution
|
On an uniform cylinder of mass m and radius R a constant horizontal fo...
Text Solution
|
A particle of mass m is moving with constant velocity v(0) along the l...
Text Solution
|
A disc of mass m and radius R rotating with angular speed omega(0) is ...
Text Solution
|
A block of mass m moves on a horizontal rough surface with initial vel...
Text Solution
|
A uniform rod of length l and mass 2 m rests on a smooth horizontal ta...
Text Solution
|
A disc of mass m and radius R is kept on a smooth horizontal surface w...
Text Solution
|