Physics-
General
Easy
Question
A uniform disc of mass M and radius R is supported vertically by a pivot at its periphery as shown. A particle of mass M is fixed to the rim and raised to the highest point above the centre. The system is then released from rest and it can rotate about its pivot freely. The angular speed of the system when the attached object is directly beneath the pivot is
The correct answer is:
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physics-
Two trolleys 1 and 2 are moving with accelerations a1 and a2 respectively in the same direction. A block of mass ‘’m’’ on trolley 1 is in equilibrium from the frame of observer stationary w.r.t. trolley 2. The magnitude of friction force on block due to trolley is (assume that no horizontal force other than friction force is acting on block)
Two trolleys 1 and 2 are moving with accelerations a1 and a2 respectively in the same direction. A block of mass ‘’m’’ on trolley 1 is in equilibrium from the frame of observer stationary w.r.t. trolley 2. The magnitude of friction force on block due to trolley is (assume that no horizontal force other than friction force is acting on block)
physics-General
physics-
A thin rod of mass M and length L is struck at one end by a ball of clay of mass m, moving with speed v as shown in figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is
A thin rod of mass M and length L is struck at one end by a ball of clay of mass m, moving with speed v as shown in figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is
physics-General
physics-
One ice skater of mass m moves with speed 2v to the right, while another of the same mass m moves with speed v toward the left, as shown in figure I. Their paths are separated by a distance b. At t = 0, when they are both at x = 0, they grasp a pole of length b and negligible mass. For t > 0, consider the system as a rigid body of two masses m separated by distance b, as shown in figure II. Which of the following is the correct formula for the motion after t = 0 of the skater initially at y = b/2?
One ice skater of mass m moves with speed 2v to the right, while another of the same mass m moves with speed v toward the left, as shown in figure I. Their paths are separated by a distance b. At t = 0, when they are both at x = 0, they grasp a pole of length b and negligible mass. For t > 0, consider the system as a rigid body of two masses m separated by distance b, as shown in figure II. Which of the following is the correct formula for the motion after t = 0 of the skater initially at y = b/2?
physics-General
physics-
Tangential acceleration of a particle starting from rest and moving in a circle of radius 1 metre varies with time as in graph. Time after which total acceleration of particle makes an angle of 
with radial acceleration is :
Tangential acceleration of a particle starting from rest and moving in a circle of radius 1 metre varies with time as in graph. Time after which total acceleration of particle makes an angle of with radial acceleration is :
physics-General
physics-
A cylinder having radius 0.4 m, initially rotating (at t = 0) with 
= 54 rad/sec is placed on a rough inclined plane with 
= 
having friction coefficient 
= 0.5. The time taken by the cylinder to start pure rolling is :
A cylinder having radius 0.4 m, initially rotating (at t = 0) with = 54 rad/sec is placed on a rough inclined plane with = having friction coefficient = 0.5. The time taken by the cylinder to start pure rolling is :
physics-General
chemistry-
A and B are
A and B are
chemistry-General
chemistry-
and enantiomer. 2-butene is
and enantiomer. 2-butene is
chemistry-General
chemistry-
Which is true statement?
Which is true statement?
chemistry-General
chemistry-
Which is true about this reaction?
Which is true about this reaction?
chemistry-General
chemistry-
Stability of
I) 
II) 
III) 
IV) 
In the increasing order is
Stability of
I)
II)
III)
IV) In the increasing order is
chemistry-General
physics-
A smooth rod of length l is kept inside a trolley at an angle as shown in the figure. What should be the acceleration a of the trolley so that the rod remains in equilibrium with respect to it?
A smooth rod of length l is kept inside a trolley at an angle as shown in the figure. What should be the acceleration a of the trolley so that the rod remains in equilibrium with respect to it?
physics-General
physics-
AB and CD are two identical rods each of length L and mass M joined to form a cross. Find the M.I. of the system about a bisector of the angle between the rods (XY)
AB and CD are two identical rods each of length L and mass M joined to form a cross. Find the M.I. of the system about a bisector of the angle between the rods (XY)
physics-General
physics-
A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is
A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is
physics-General
physics-
An inverted “V” is made up of two uniform boards each weighing 200 N. Each side has the same length and makes an angle with the vertical as shown in figure. The magnitude of the static frictional force that acts on each of the lower end of the V is
An inverted “V” is made up of two uniform boards each weighing 200 N. Each side has the same length and makes an angle with the vertical as shown in figure. The magnitude of the static frictional force that acts on each of the lower end of the V is
physics-General
physics-
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling from a stationary hopper on to the cart with negligible velocity at constant rate kg/s and sticks to the cart The velocity of the cart at time t(<t0)
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling from a stationary hopper on to the cart with negligible velocity at constant rate kg/s and sticks to the cart The velocity of the cart at time t(<t0)
physics-General
