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A rectangular bar is fixed to a hard floor. Height of the bar is h and its area in contact with the floor is A. A shearing force distorts the bar as shown. Prove that the work done by the shearing force is W=(σ22η)× volume of the bar. Here σ is shear modulus of elasticity. Assume the deformation to be small.
28
Aug
A rectangular bar is fixed to a hard floor. Height of the bar is h and its area in contact with the floor is A. A shearing force distorts the bar as shown. Prove that the work done by the shearing force is W=(σ22η)× volume of the bar. Here σ is shear modulus of elasticity. [...]
A moves with constant velocity u along then x-axis. B always has velocity towards A. After how much time will B meet A if B moves with constant speed V? What distance will be travelled by A and B?
28
Aug
A moves with constant velocity u along then x-axis. B always has velocity towards A. After how much time will B meet A if B moves with constant speed V? What distance will be travelled by A and B? A moves with constant velocity u along then x-axis. B always has velocity towards A. After [...]
A uniform material rod of length L is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is w. Find increase in length of the rod. It is given that density and Young’s modulus of the rod are r and Y respectively.
28
Aug
A uniform material rod of length L is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is w. Find increase in length of the rod. It is given that density and Young’s modulus of the rod are r and Y respectively. A steel ring [...]
A river has a width d. A fisherman in a boat crosses the river twice. During the first crossing, his goal is to minimize the crossing time. During the second crossing, his goal is to minimize the distance that the boat is carried downstream. In the first case, the crossing time is T 0 . In the second case, the crossing time is 3T 0 . What is the speed of the river flow? Find all possible answers.An aircraft is .flying. horizontally with a constant vefocity =200m//s at a height =1km above groun At the momement shown, a bomb is released from the aircraft and the cannon-gun below fires a shell with initial speed =200m//s , at some angle theta For what value of theta will the projectile shell destroy the bomb in mid-air? If the value of theta is 53^(3) , find the minimum distance between the bomb and the shell as they fly past each other. Take sin53^(@)=4//5-duplicate-1
28
Aug
A river has a width d. A fisherman in a boat crosses the river twice. During the first crossing, his goal is to minimize the crossing time. During the second crossing, his goal is to minimize the distance that the boat is carried downstream. In the first case, the crossing time is T 0 [...]
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A river has a width d. A fisherman in a boat crosses the river twice. During the first crossing ,
his goal is to minimize the crossing time. During the second crossing ,
his goal is to minimize the distance that the boat is carried downstream. In the first case ,
the crossing time is 3T 0 . What is the speed of the river flow? Find all possible answers. ,
the crossing time is T 0 . In the second case ,
Two bars A and B are stuck using an adhesive, the contact surface Two bars A and B are stuck using an adhesive. The contact surface of the bars make an angle q with the length. Area of cross section of each bar is `S_(0)`. It is known that the adhesive yields if normal stress at the contact surface exceeds `sigma_(0)`.
28
Aug
Two bars A and B are stuck using an adhesive, the contact surface Two bars A and B are stuck using an adhesive. The contact surface of the bars make an angle q with the length. Area of cross section of each bar is `S_(0)`. It is known that the adhesive yields if normal stress [...]
An aircraft is flying horizontally with a constant vefocity =200m/s at a height =1km above groun At the momement shown, a bomb is released from the aircraft and the cannon-gun below fires a shell with initial speed =200m//s , at some angle theta For what value of theta will the projectile shell destroy the bomb in mid-air? If the value of theta is 53 degrees, find the minimum distance between the bomb and the shell as they fly past each other. Take sin 53=4/5
28
Aug
An aircraft is flying horizontally with a constant vefocity =200m/s at a height =1km above groun At the momement shown, a bomb is released from the aircraft and the cannon-gun below fires a shell with initial speed =200m//s , at some angle theta For what value of theta will the projectile shell destroy the bomb [...]
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a bomb is released from the aircraft and the cannon-gun below fires a shell with initial speed =200m//s ,
An aircraft is .flying. horizontally with a constant vefocity =200m//s at a height =1km above groun At the momement shown ,
at some angle theta For what value of theta will the projectile shell destroy the bomb in mid-air? If the value of theta is 53^(3) ,
find the minimum distance between the bomb and the shell as they fly past each other. Take sin53^(@)=4//5 ,
A steel ring of radius r and cross section area A is fitted on to a wooden disc of radius R(R>r). If Young’s modulus be R, then the force with which the steel ring is expanded is
28
Aug
A steel ring of radius r and cross section area A is fitted on to a wooden disc of radius R(R>r). If Young’s modulus be R, then the force with which the steel ring is expanded is A steel ring of radius r and cross section area A is fitted on to a wooden disc [...]
The elastic limit and ultimate strength for steel is 2.48×10^8 Pa and 4.89×10^8 Pa respectively. A steel wire of 10 m length and 2 mm cross sectional diameter is subjected to longitudinal tensile stress. Young’s modulus of steel is Y=2×1011Pa (a) Calculate the maximum elongation that can be produced in the wire without permanently deforming it. How much force is needed to produce this extension? (b) Calculate the maximum stretching force that can be applied without breaking the wire.
28
Aug
The elastic limit and ultimate strength for steel is 2.48×10^8 Pa and 4.89×10^8 Pa respectively. A steel wire of 10 m length and 2 mm cross sectional diameter is subjected to longitudinal tensile stress. Young’s modulus of steel is Y=2×1011Pa (a) Calculate the maximum elongation that can be produced in the wire without permanently deforming [...]
On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y-axis( see figure) with a constant velocity of sqrt 3 m/s . At a particular instant, when the line OA makes an angle of 45 degree with the x – axis, a ball is thrown along the surface from the origin O. Its velocity makes an angle phi with the x -axis and it hits the trolley . (a) The motion of the ball is observed from the frame of the trolley . Calculate the anglethetamade by the velocity vector of the ball with the x-axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = 4 theta / 3
28
Aug
On a frictionless horizontal surface , assumed to be the x-y plane , a small trolley A is moving along a straight line parallel to the y-axis( see figure) with a constant velocity of sqrt 3 m/s . At a particular instant, when the line OA makes an angle of 45 degree with the x [...]
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A large heavy box is sliding without friction down a smooth plane of inclination θ. From a point P on the bottom of the box ,
a small trolley A is moving along a straight line parallel to the y-axis( see figure) with a constant velocity of (sqrt(3)-1) m//s . At a particular instant ,
assumed to be the x-y plane ,
On a frictionless horizontal surface ,
the angular speed of A with respect to B is: ,
Two particles A and B are moving as shown in the figure. At this moment of time ,
when the line OA makes an angle of 45(@) with the x - axis ,
A mild steel wire of length 1.0m and cross sectional area 5.0 × 10^−2 cm^2 is stretched, within its elastic limit horizontally between two pillars. A mass of 100g is suspended form the midpont of the wire. Calculate the depression at the midpoint (Ysteel = 200 GPa)
28
Aug
A mild steel wire of length 1.0m and cross sectional area 5.0 × 10^−2 cm^2 is stretched, within its elastic limit horizontally between two pillars. A mass of 100g is suspended form the midpont of the wire. Calculate the depression at the midpoint (Ysteel = 200 GPa) A mild steel wire of length 1.0m and [...]