Chapter 01 : Physics: XII : Circular Motion : Test #5

 Chapter 01 : Physics: XII : Circular Motion      

    :Test 4 : self study 

 Marks 20                                                 Time 40 min

1. Prove the relation V̅ = W̅ X r̅ , where symbols have their usual meanings.  2M 

2. Differentiate between centripetal force and centrifugal force.     2M 

3. What is conical Pendulum? Obtain an expression for linear speed of bob of conical pendulum.                                   3M

4. Show that the difference in  the tensions at highest and lowest point is 8 mg in vertical circular motion.                         2M

5. Derive an expression for maximum safety speed with which vehicle should move along a curve horizontal  road.       2M

6.A flat curve on highway has a radius of curvature  500m. A car rounds the curve at speed of 80 km/hr. What is the minimum value of the coefficient of friction that will prevent car from sliding.  g= 9.81 m/s²                                                     3M

7. A  body of mass 3Kg is tied to the end of the string 5m long and revolved in a horizontal circle. If the breaking tension of string is 500N calculate the maximum velocity of body.   3M

8. If a car is having mass 250 Kg can move with optimum speed 10 m/s on a circular banked road  radius 25 m.                 3M