Physics-
General
Easy
Question
The time period of a particle performing linear SHM is 12 s. What is the time taken by it to cover a distance equal to half its amplitude starting its motion from the mean position ?
- 1sec
- 2sec
- 3sec
- 4sec
The correct answer is: 1sec
Related Questions to study
physics-
A small mass particle is given an initial velocity 
tangent to the horizontal rim of a smooth hemispherical bowl at radius 
from the vertical centreline as shown at point A. As the particle slides past point B, on a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle 
with the horizontal tangentto the bowl through B.
A small mass particle is given an initial velocity tangent to the horizontal rim of a smooth hemispherical bowl at radius from the vertical centreline as shown at point A. As the particle slides past point B, on a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle with the horizontal tangentto the bowl through B.
physics-General
physics-
A rectangular rigid fixed block has a long horizontal edge. A solid homogeneous cylinder of radius R is placed horizontally at rest with its length parallel to the edge such that the axis of the cylinder and the edge of the block are in the same vertical plane as shown in fig. There is sufficient friction present at the edge so that even a small displacement causes the cylinder to roll of the edge without slipping. The angle 
through which the cylinder rotates before it leaves contact with the edge is
A rectangular rigid fixed block has a long horizontal edge. A solid homogeneous cylinder of radius R is placed horizontally at rest with its length parallel to the edge such that the axis of the cylinder and the edge of the block are in the same vertical plane as shown in fig. There is sufficient friction present at the edge so that even a small displacement causes the cylinder to roll of the edge without slipping. The angle through which the cylinder rotates before it leaves contact with the edge is
physics-General
physics-
A uniform circular disc has radius R & mass m. A particle also of mass m is fixed at point A on the edge of the disc as shown in the fig. The disc can rotate freely about a fixed horizontal chord PQ that is at a distance R/4 from the centre C of the disc. The line AC is perpendicular to PQ. Initially the disc is held vertical with the point A at its highest position. It is then allowed to fall so that it starts rotating about PQ. Find the linear speed of the particle as it reaches its lowest position.
A uniform circular disc has radius R & mass m. A particle also of mass m is fixed at point A on the edge of the disc as shown in the fig. The disc can rotate freely about a fixed horizontal chord PQ that is at a distance R/4 from the centre C of the disc. The line AC is perpendicular to PQ. Initially the disc is held vertical with the point A at its highest position. It is then allowed to fall so that it starts rotating about PQ. Find the linear speed of the particle as it reaches its lowest position.
physics-General
physics-
A uniform disc of mass mass and radius r rotates along an axis passing through its centre of mass and normal to its plane. An unstretchable rope is wound on the disc. Tangential acceleration of a point P on the periphery of the disc when a uniform force 
is applied on the rop is
A uniform disc of mass mass and radius r rotates along an axis passing through its centre of mass and normal to its plane. An unstretchable rope is wound on the disc. Tangential acceleration of a point P on the periphery of the disc when a uniform force is applied on the rop is
physics-General
physics-
A uniform disc of mass M and radius R is supported vertically by a pivot at its centre as shown. A small dense object of mass M is attached to the rim and raised to the highest point above the centre. The unstable system is then released. The angular speed of the system when the attached object passes directly beneath the pivot is
A uniform disc of mass M and radius R is supported vertically by a pivot at its centre as shown. A small dense object of mass M is attached to the rim and raised to the highest point above the centre. The unstable system is then released. The angular speed of the system when the attached object passes directly beneath the pivot is
physics-General
physics-
A bar of mass M & length L is in pure translatory motion with its centre of mass velocity V. It collides with and sticks to a second identical bar which is initially at rest. (Assume that it becomes one composite bar of length 2 L ). The angular velocity of the composite bar will be.
A bar of mass M & length L is in pure translatory motion with its centre of mass velocity V. It collides with and sticks to a second identical bar which is initially at rest. (Assume that it becomes one composite bar of length 2 L ). The angular velocity of the composite bar will be.
physics-General
physics-
A small particle of mass m and its restraining cord are spinning with an angular velocity 
on the horizontal surface of a smooth disc as shown. The force F is slightly relaxed, r increases and changes.
A small particle of mass m and its restraining cord are spinning with an angular velocity on the horizontal surface of a smooth disc as shown. The force F is slightly relaxed, r increases and changes.
physics-General
physics-
A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate abut its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?
A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate abut its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?
physics-General
physics-
A uniform 50 kg pole ABC is balanced in the vertical position. A 500 N horizontal force is suddenly applied at B as shown in fig. If the coefficient of kinetic friction between pole and surface is 0.3. The initial acceleration of point 
is
A uniform 50 kg pole ABC is balanced in the vertical position. A 500 N horizontal force is suddenly applied at B as shown in fig. If the coefficient of kinetic friction between pole and surface is 0.3. The initial acceleration of point is
physics-General
physics-
A uniform rod of length 1 is pivoted at point A. It is struck by a horizontal force which delivers an impulse J at a distance x from point A as shown in fig, impulse delivered by pivot is zero if x is equal to
A uniform rod of length 1 is pivoted at point A. It is struck by a horizontal force which delivers an impulse J at a distance x from point A as shown in fig, impulse delivered by pivot is zero if x is equal to
physics-General
physics-
A rod of mass m and length 1 is hinged at one of its end A as shown in fig. A force F is applied at a distance x from A. The acceleration of centre of mass (A) varies with x as
"
A rod of mass m and length 1 is hinged at one of its end A as shown in fig. A force F is applied at a distance x from A. The acceleration of centre of mass (A) varies with x as
"
physics-General
physics-
A uniform wheel of moment of inertia 1 as shown is pivoted on a horizontal axis through its centre so that its plane is vertical. A small mass m is stuck on the rim of the wheel as shown. The angular acceleration of the wheel when mass is at point A is 
and when mass is at point B is 
. Then
A uniform wheel of moment of inertia 1 as shown is pivoted on a horizontal axis through its centre so that its plane is vertical. A small mass m is stuck on the rim of the wheel as shown. The angular acceleration of the wheel when mass is at point A is and when mass is at point B is . Then
physics-General
physics-
A rod AB of length 1 m is placed at the edge of a smooth table as shown in fig. It is hit horizontally at point B. If the displacement of centre of mass in 1 s is 
. The angular velocity of the rod is 
A rod AB of length 1 m is placed at the edge of a smooth table as shown in fig. It is hit horizontally at point B. If the displacement of centre of mass in 1 s is . The angular velocity of the rod is
physics-General
physics-
A uniform rod of mass m, length l is placed over a smooth horizontal surface along y-axis and is at rest as shown in figure. An impulsive force F is applied for a small time 
along at point A. The x-coordinate of end A of the rod when the rod becomes parallel to x-axis for the first time is (initially the coordinate of centre of mass of the rod is (0,0)) :
A uniform rod of mass m, length l is placed over a smooth horizontal surface along y-axis and is at rest as shown in figure. An impulsive force F is applied for a small time along at point A. The x-coordinate of end A of the rod when the rod becomes parallel to x-axis for the first time is (initially the coordinate of centre of mass of the rod is (0,0)) :
physics-General
physics-
Moment of inertia of a triangle plane of mass M shown in the figure, about vertical axis AB is:
Moment of inertia of a triangle plane of mass M shown in the figure, about vertical axis AB is:
physics-General
