2 A particle of mass m is attached to the mid-point of a light elastic string. The string is stretched between two points A and B on a smooth horizontal surface, where A B = 2 a. The string has modulus of elasticity λ and natural length 2l, where l a. The particle is in motion...
6. A small object P, of mass m, is projected vertically upwards from the ground with speed U. As P moves upwards it picks up droplets of moisture from the atmosphere. The droplets are at rest immediately before they are picked up. In a model of the motion, P is modelled as a partic...
To find the time period of oscillation for the given system, we need to consider both the mass of the load and the mass of the spring itself. Here’s a step-by-step solution: Step 1: Identify the masses involved- The mass of the load attached to the spring is M.- The mass of th...
A small body of mass m is at rest inside a thin, narrow tyre of mass m and radius r which is lying on a horizontal table with its plane horizontal. The small body is given a tangential initial velocity v0 at t=0, as shown ...
A small ball of mass 0.360 kg is attached to a string of length 1.25 m and revolved as shown in the figure below. The breaking tension of the string is 8.00 N. (a) What angle does the string make when the rope is just about to bre...
2 A small bead of mass m is threaded on a thin smooth wire which forms a circle of radius a. The wire is fixed in a vertical plane. A light inextensible string is attached to the bead and passes through a small smooth ring fixed at the centre of the circle. The other end of the...
After r seconds, the displacement x centimetres of a small mass attached to a spring, oscillates about a fixed point O according to the differential qqaadon(d^2x)/(dt^2)=-π^2x .The initial velocity is 8 centimetres per second and the initial displacement is zero.The differential equation...
To solve the problem step by step, we will analyze the situation of a mass sliding down a smooth spherical surface. Step 1: Understanding the Setup- We have a small mass m that starts from rest at the top of a smooth spherical surface of radius R.- The potential energy is considered...
A small mass m rests on the sloping side of a triangular block of mass M which itself rests on a horizontal table as shown in figure. If no friction, how much is the force F applied to M so that m doesn’t move relative to the block? A、 B、 C、 D、...
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