Question
A particle on a rotating disc have initial and final angular positions are
  1. -2 rad, +6 rad.
  2. -4 rad, -8 rad.
  3. 6 rad, -2 rad.
In which case, particle undergoes a negative displacement

Answer

  1. Angular displacement is $\Delta\theta=\theta_{\text{f}}-\theta_{\text{i}}=6-(-2)=8\text{rad}$
  2. $\Delta\theta=\theta_{\text{f}}-\theta_{\text{i}}$

$=-8\text{rad}-(-4\text{rad})=-4\text{rad}$

  1. $\Delta\theta=-2\text{rad}-(+6\text{rad})=-8\text{rad}$

In cascs (ii) ad (iii), angular displacement is negative.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The density of water at 4°C is supposed to be 1000kg m3. Is it same at sea level and at high altitude?
Find the torque of a force $7 \tilde{ i }$ $+3 \overline{ j }-5 \tilde{ k }$ about the origin. The force acts on a particle whose position vector is $\tilde{ i }-\tilde{ j }+\tilde{ k }$.
The speed time graph for a car is shown in Fig.

  1. Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
  2. Which part of the graph represents uniform motion of the car?
There is a slight temperature difference between the water fall at the top and the bottom. Why?
A lady walking towards east on a road with velocity of 10m/ s encounters rain falling vertically with a velocity of 30m/ s. At what angle she should hold her umbrella to protect herself from the rain?
Using the formula $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}$ and $\text{B}=\frac{\mu_0\text{i}}{2\pi\text{r}},$ show that the SI units of the magnetic field B and the permeability constant $\mu_0$ may be written as N/A-m and NA2 respectively.
A car is lifted by a hydraulic jack that consist of two pistons. The large piston is 1m in diameter and small piston is 10cm in diameter. If W is the weight of the car, how much smaller a force is needed on the small piston to lift the car?
What is the gravitational force on a body inside a spherical shell? Why is it so?
Find the increase in mass when 1kg of water is heated from 0°c to 100°C. Specific heat capacity of water = 4200J/kg-K.
Give the magnitude and direction of the net force acting on a stone of mass 0.1kg, (Neglect air resistance throughout.)
Just after it is dropped from the window of a train running at a constant velocity of 36km/h.