A mass m=8 kg is attached to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is 200 N/m. The mass m is then released and begins to undergo small oscillations. The maximum velocity the mass will be

The two blocks of mass and are kept on a smooth horizontal table as shown in figure. Block of mass but not is fastened to the spring. If now both the blocks are pushed to the left so that the spring is compressed a distance . The amplitude of oscillation of block of mass after the system is released is

Five identical springs are used in the following three configurations. The time period of vertical oscillations in configuration (i) (ii) and (iii) are in the ratio

For the process Cu(g) →Cu+ (g) + e– , the electron is to be removed from

In the reaction, 2CuCl₂ + 2H₂O + SO₂ → A + H₂SO₄ + 2HCl ; A is

The variation of PE of a simple harmonic oscillator is as shown. Then force constant of the system is (PE 'U' is in joules, displacement ' x ' is in mm )

A particle at the end of the spring executes S.H.M with a period , while the corresponding period for another spring is . If the period of oscillation with two springs in series is ' T ', then (same particle connected in all the cases)

The flagpole and ground are ________ to each other.

For such questions, we should know about perpendicular lines and parallel lines.

Identify the perpendicular lines in the given figure.

For such questions, we should know about perpendicular lines and parallel lines. We should start with horizontal lines or verical lines. We should follow the order or there are chances to miss the lines.

Acceleration displacement graph of a particle executing S.H.M is as shown in given figure. The time period of its oscillation is (in sec)

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 ?

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 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 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 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 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