Video Lecture
Theory For Making Notes
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Practice Questions (Level-1)
1.
A cyclist speeding at 18 km/hr on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The co-efficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?
(a)Yes,The cyclist will slip while taking the circular turn.
(b)No,The cyclist will slip while taking the circular turn.
Ans (a)
Comprehension Based Question ( 2 And 3)
A circular racetrack of radius 300 m is banked at an angle of 15o. If the coefficient of friction between the wheels of race car and the road is 0.2, what is the
2.
(a) optimum speed of the racecar to avoid wear and tear on its tyres
(a)10.00 m/s
(b)20.5 m/s
(c)28.1 m/s
(d)25.6 m/s
Ans (c)
3.
(b) maximum permissible speed to avoid slipping?
(a)35.0 m/s
(b) 36.8 m/s
(c)38.1 m/s
(d)40.0 m/s
Ans (c)
Practice Questions (Level-2)
1.
A block of mass m1 is attached to a cord of length L1 which is fixed at one end. The mass moves in a horizontal circle suspended by a frictionless table. A second block of mass m2 is attached to the first by a cord of length L2 and also moves in a circle, as shown in the figure. If the angular speed is w, find the tension in each cord.
(a) T2 = m2 (L1 + L2)ω2 ;T1 = m1L1ω2 + m2 (L1 + L2)ω2
(b) T2 = m2 (L2 – L1)ω2 ;T1 = m1L1ω3 + m2 (L1 + L2)ω2
(c) T2 = m2 (L1 + L2)ω2 ;T1 = m1/L1ω2 + m2 (L1 + L2)ω3
(d) T2 = m2 (L2 – L1)ω2 ;T1 = m1L1ω2 + m2 (L1 + L2)ω4
Ans (a)
2.
A mass m on a frictionless table is attached to a hanging mass M by a string through a hole in the surface as shown in the figure. Find the speed with which m must move in order for Mto stay at rest.
(a)\sqrt{{\frac{{Mg}}{m}}}
(b)\sqrt{{\frac{{Mgr}}{m}}}
(c)\sqrt{{\frac{{Mgr}}{2m}}}
(d)\sqrt{{\frac{{2Mgr}}{m}}}
Ans (b)
3.
A block of mass 0.4 kg is attached to a vertical rotating spindle by two strings of equal length, as shown in the figure. The time period of rotation is 1.2 s. Determine the tensions in the strings.
(a) 2 N, 5 N
(b) 8 N, 3 N
(c) 5 N, 3 N
(d) 1 N, 5 N
Ans (b)