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A trolley is moving horizontally with a velocity of v m/s w.r.t. earth. A man starts running in the direction of motion of trolley from one end of trolley with a velocity 1.5v m/s w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running with a velocity of1.5v m/s w.r.t. trolley in the backward direction. If the length of the trolley is L, then the displacement of the man with respect to earth, measured as a function of time, will attain a maximum value of
21
Sep
A trolley is moving horizontally with a velocity of v m/s w.r.t. earth. A man starts running in the direction of motion of trolley from one end of trolley with a velocity 1.5v m/s w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running with a velocity of1.5v m/s w.r.t. [...]
In Fig., a hollow tube of mass M is free in horizontal direction. The system is released from rest. There is no friction present. The tube and blocks are taken as system. i. Momentum of the system is conserved in x-direction. ii. Speed of A w.r.t. M= speed of B w.r.t. M. iii. Trajectory of centre of mass is X-constant. iv. Centre of mass has finite acceleration. Evaluate the above statements and choose the correct option from the following:
21
Sep
In Fig., a hollow tube of mass M is free in horizontal direction. The system is released from rest. There is no friction present. The tube and blocks are taken as system. i. Momentum of the system is conserved in x-direction. ii. Speed of A w.r.t. M= speed of B w.r.t. M. iii. Trajectory of [...]
Two identicals blocks having mass M each are conjugated and placed on a smooth floor as shown in figure. A small block of mass m is released from position as shown. Velocity of block B is maximum
21
Sep
Two identicals blocks having mass M each are conjugated and placed on a smooth floor as shown in figure. A small block of mass m is released from position as shown. Velocity of block B is maximum Two identicals blocks having mass M each are conjugated and placed on a smooth floor as shown in [...]
Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity v = 1 m/s. At any time, thread is burnt, the velocity of block A, when B is having maximum velocity w.r.t. ground, is
21
Sep
Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a [...]
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Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially ,
is ,
spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity v = 1 m/s. At any time ,
the velocity of block A ,
thread is burnt ,
when B is having maximum velocity w.r.t. ground ,
A particle is moving with constant speed in a circle as shown in Fig. 5.163. Find the angular velocity of the particle A with respect to fixed point B and C of angular velocity with respect to o is omega.
21
Sep
A particle is moving with constant speed in a circle as shown in Fig. 5.163. Find the angular velocity of the particle A with respect to fixed point B and C of angular velocity with respect to o is omega. Two ships are 10 km apart on a line joining south to north. The one [...]
A person, intending to cross a river by the shortest path, starts at an angle alpha with the downstream. If the speed of the person be less than that of water current, show that alpha must be obtuse.
21
Sep
A person, intending to cross a river by the shortest path, starts at an angle alpha with the downstream. If the speed of the person be less than that of water current, show that alpha must be obtuse. A person intending to cross a river by the shortest path show that alpha must be obtuse. [...]
Two blocks of masses in and 4 m lie on a smooth horizontal surface connected with a spring in its natural length. Mass m is given velocity v0 through an impulse as shown in Fig. Which of the following is not true about subsequent motion?
21
Sep
Two blocks of masses in and 4 m lie on a smooth horizontal surface connected with a spring in its natural length. Mass m is given velocity v0 through an impulse as shown in Fig. Which of the following is not true about subsequent motion? A strip of wood mass M and length l is [...]
A person rows a boat across a river making an angle of 60 with the downstream. Find the percentage time he would have saved, had he crossed the river in the shortest possible time.
21
Sep
A person rows a boat across a river making an angle of 60 with the downstream. Find the percentage time he would have saved, had he crossed the river in the shortest possible time. A person rows a boat across a river making an angle of 60 with the downstream. Find the percentage time he [...]
A man directly crosses a river in time t1 and swims down the current a distance equal to the width of the river in time t2. If u and v be the speed of the current and the man respectively, show that t1 : t2 :: root v +u : root v – u.
21
Sep
A man directly crosses a river in time t1 and swims down the current a distance equal to the width of the river in time t2. If u and v be the speed of the current and the man respectively, show that t1 : t2 :: root v +u : root v – u. A [...]
A boatman finds that he can save 6 s in crossing a river by the quickest path than by the shortest path. If the velocity of the boat and the river be, respectively, 17 m/s and 8 m/s, find the river width.
21
Sep
A boatman finds that he can save 6 s in crossing a river by the quickest path than by the shortest path. If the velocity of the boat and the river be, respectively, 17 m/s and 8 m/s, find the river width. 17 m/s and 8 m/s A boatman finds that he can save 6 [...]