A man of mass 60 kg hangs himself from a massless spring balance, which itself suspended from an ideal string-pulley system as shown in the
figure. The string AB can bear maximum 900 N. Choose correct statement. Anonymous User Physics 27 Mar, 2020 113 views

A uniform solid hemisphere of radius 10 m and mass 64 kg is placed with its curved surface on the smooth horizontal surface and a string AB of length 4m is attached to point A on its rim as shown in the figure. Find the tension in the string if hemisphere is in equilibrium. Anonymous User Physics 27 Mar, 2020 57 views

A uniform rod of mass M and length L is free to rotate about a frictionless pivot located L/3 from one end. The rod is released from rest incrementally away from being perfectly vertical, resulting in the rod rotating clockwise about the pivot. When the rod is horizontal, what is the magnitude of the tangential acceleration of its center of mass? Anonymous User Physics 27 Mar, 2020 54 views

An object is being pushed at constant speed on an inclined plane. The free body diagram of the object is shown with the gravitational force represented by W, the friction force by f, the applied external push parallel to the incline by F, and the normal force with surface by N. Which one of the following choices represents correct relationships between the forces? Anonymous User Physics 27 Mar, 2020 53 views

A string of mass m (can be non uniform as well) is suspended through two points which are not in same horizontal level. Tension in the string at the end points are T1 and T2 and at the lowest point is T3. Mass of string in terms of T1, T2 and T3 can be represented a {uniform gravity ‘g’ exists downwards) Anonymous User Physics 27 Mar, 2020 89 views

All the blocks are attached to an ideal rope which passes over an ideal pulley. If accelerations of blocks m1, m2, m3, and m4 are a1, a2, a3 and a4 respectively then choose the correct option.  Anonymous User Physics 27 Mar, 2020 66 views

A massless spring of stiffness 400 N/m is fastened at left end to a vertical wall as shown in the figure I. Initially block C of mass 2 kg and block D of mass 5 kg rest on horizontal surface with block C in contact with spring (But not compressing it.) and the block D in contact with block C. Block C is moved leftward, compressing spring by a distance of 0.5 m and held in place while block D remains at rest as shown in the figure.

Now Block C is released block D. The surface is rough and the coefficient of friction between each block and surface is 0.1. The block collide instantaneously stick together and move right. Find the velocity of combined system just after collision. Anonymous User Physics 27 Mar, 2020 53 views

Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is

Anonymous User Maths Statistics 27 Mar, 2020 88 views

Let x1, x2, ...., xn be n observations such that and .Then a possible value

of n among the following is

Anonymous User Maths Statistics 27 Mar, 2020 91 views

Consider the following statements :
(1) Mode can be computed from histogram

(2) Median is not independent of change of scale

(3) Variance is independent of change of origin  and scale.

Which of these is/are correct?

Anonymous User Maths Statistics 27 Mar, 2020 54 views

In an experiment with 15 observations on x, the following results were available. One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

Anonymous User Maths Statistics 27 Mar, 2020 72 views

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

Anonymous User Maths Statistics 27 Mar, 2020 56 views

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then what will be the distance covered by the smaller body just before the collision?

Anonymous User Physics Gravitation and Projectile 27 Mar, 2020 68 views

The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, what will be the new time period?

Anonymous User Physics Gravitation and Projectile 27 Mar, 2020 51 views

## For the given uniform square lamina ABCD, whose centre is O, For the given uniform square lamina ABCD, whose centre is O, Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 58 views

A  round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle with the horizontal. Then what will be its acceleration?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 58 views

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is from the centre of the bigger disc. What is the value of ?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 66 views

Four point masses, each of value m, are placed at the corners of a square ABCD of side l. What will be the moment of inertia of this system about an axis through A and parallel to BD?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 63 views

A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 74 views

A force of acts on O, the origin of the coordinate system. What is the torque about the point (1, –1)? Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 137 views

Consider a two-particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 59 views

A T shaped object with dimensions shown in the figure is lying on a smooth floor. A force F is applied at the point parallel to AB, such that the object has only the translational motion without rotation. What is the location of P with respect to C? Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 93 views

A thin rod of length L is lying along the x-­axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as k(x/L)n where n can be zero or any positive number. If the position xCM of the centre of mass of the rod is plotted against n, which of the following graphs best approximates the dependence of xCM on n?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 64 views

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 65 views

Let be the force acting on a particle having position vector and be the torque of this force about the origin. Then

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 62 views

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then what would be the new angular momentum?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 68 views

A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then what is the relation between the moment of inertia Ix and Iy?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 64 views

A particle of mass m moves along line PC with the velocity v as shown in the below image. What should be the angular momentum of the particle about P?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 77 views

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then what is the maximum acceleration down the plane is for (no rolling)?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 76 views

Initial angular velocity of a circular disc of mass M is . Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 53 views

Initial angular velocity of a circular disc of mass M is . Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

Anonymous User Physics Circular and Rotational Motion 25 Mar, 2020 54 views