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A stone tied to the end of string 80cm long is whirled in horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 sec, what is the magnitude of acceleration of the stone?
A stone of mass m tied to one end of a string of length l is rotated in a circle with the other end of the string as the centre. The speed of the stone is v. If the string breaks, the stone will ___________
A stone tied at the end of a string is whirled in a circle. When the string breaks, the stone ___________
Mayank is doing an experiment in the lab with a bob of mass 10 Kg and a string of 6 m. He tied a string with the laboratory roof and another end with the bob. He then tied another string at 3 m below the roof with the previous one as shown in the figure. Find the tension T1 in the string? g =10 m/s2
What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.
Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
There are two huts of two brothers each on the opposites sides of a medium sized pond. Each brother has to use 12 stones in the pond to visit each other’s hut by crossing the pond. These stones are numbered serially using numbers one to twelve. A dragon fly is jumping on these stones as follows; every minute it jumps to the fifth stone from where it started. Thus if it jumps from the fourth stone it would go to the ninth stone, from the ninth stone it would go to the second stone and so on. Select the option that indicates the number of stones on which this dragon fly would be resting if it stops jumping at the 36th minute if it starts jumping from the stone that is numbered two.
The rate of change of angular speed is constant. What will be the expression for change in angular speed after time dt, if angular acceleration is ‘a’? The initial angular speed is ‘w’.
A stone tied to the end of a string is swirled with a constant speed, such that the stone follows a circular path in horizontal plane. Which of the following statement is not true?