Question
Consider the situation shown in figure. Initially the spring is unstretched when the system is released from rest. Assuming no friction in the pulley, find the maximum elongation of the spring.
✓
Answer
Mass of the body = m
Let the elongation be x
So, $\frac{1}{2}\text{kx}^2=\text{mgx}$
$\Rightarrow\text{x}=2\text{mg}/\text{k}$
Let the elongation be x
So, $\frac{1}{2}\text{kx}^2=\text{mgx}$
$\Rightarrow\text{x}=2\text{mg}/\text{k}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In which of the following examples of motion, can the body be considered approximately a point object:
A tumbling beaker that has slipped off the edge of a table.
A tumbling beaker that has slipped off the edge of a table.
The temperatures of the junctions of a bismuth-silver thermocouple are maintained at 0°C and 0.001°C. Find the thermo-emf (Seebeck emf) developed. For bismuth-silver, a = -46 × 10-6V°C-1 and b = -0.48 × 10-6V°C-2.
A simple microscope using a single lens often shows coloured image of a white source. Why?
The frequencies of the two tuning forks A and B are 250Hz and 255Hz respectively. Both are sounded together. How many beats will be heared in 5s?
A glass flask of volume 250cm3 is just filled with mercury at 20°C. How much mercury overflows when the temperature of the system is raised to 100°C? The coefficient of volume expansion of glass is 12 × 10-6(°C)-1 and that of mercury is 18 × 10-5 (°C)-1.
On a hot day, a car is left in sunlight with all the windows closed. After some time, it is found that the inside of the car is considerably warmer than the air outside. Explain, why?
A force F = a + bx acts on a particle in the x-direction, where a and b are constants. Find the work done by this force during a displacement from x = 0 to x = d.
Why is a white dress more comfortable than a dark dress in summer?
A bullet of mass $0.04 kg$ moving with a speed of $90 m s ^{-1}$ enters a heavy wooden block and is stopped after a distance of $60 cm$. What is the average resistive force exerted by the block on the bullet?
→Define S.H.M. what are its characteristics? At what distance from the mean position in S.H.M. of amplitude 'r', the energy is half kinetic and half potential?