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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 particle is projected inside the box. The initial speed of particle with respect to the box is u and the direction of projection makes an angle α with the bottom as shown. Find the distance along the bottom of box between the point of projection P and point Q where the particle lands. (Assume that the particle does not hit any other surface of the box. Neglect air resistance)
28
Aug
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 particle is projected inside the box. The initial speed of particle with respect to the box is u and the direction of projection makes an angle α with the [...]
A smooth uniform string of natural length l, cross-sectional area A and Young’s modulus Y is pulled aling its length by a force F on a horizontal surface. Find the elastic potential energy
28
Aug
A smooth uniform string of natural length l, cross-sectional area A and Young’s modulus Y is pulled aling its length by a force F on a horizontal surface. Find the elastic potential energy A smooth uniform string of natural length l cross-sectional area A and Young's modulus Y is pulled aling its length by a [...]
Two guns situated on the top of a hill of height 10 m fire one shot each with the same speed 5 root 3 m/s at some interval of time. One gas fires horizontally and other fires upwards at an angle of 60 with the horizontal. The shots collide in air at point P find I. The time interval between the firings and II. The coordinates of the point P. Take origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in x-y plane (take g = 10m/s 2 )
28
Aug
Two guns situated on the top of a hill of height 10 m fire one shot each with the same speed 5 root 3 m/s at some interval of time. One gas fires horizontally and other fires upwards at an angle of 60 with the horizontal. The shots collide in air at point P find [...]
When the load on a wire is slowly increased from 3 to 5kgwt, the elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is
28
Aug
When the load on a wire is slowly increased from 3 to 5kgwt, the elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is the elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is When the load on a wire is slowly increased from [...]
Two towers AB and CD are situated at distance d apart as shown in Fig. AB is 20 m high and CD is 30m high from the ground. An object of mass m is thrown from the top of AB horizontally with a velocity of 10 m/s towards CD. Simultaneously, another object of mass 2m is thrown from the lay of CD at an angle 60 to the horizontal towards AB with the same magnitude of initial velocity us that of the first object. The two objects move in the same vertical plane, collide in mid-air, and stick to each other. a. Calculate the distance d between the towers. b. Find the position where the objects hit the ground.
28
Aug
Two towers AB and CD are situated at distance d apart as shown in Fig. AB is 20 m high and CD is 30m high from the ground. An object of mass m is thrown from the top of AB horizontally with a velocity of 10 m/s towards CD. Simultaneously, another object of mass 2m [...]
what is the density of water at a depth where pressure is 501 atm, given its density at a surface is 1.0 x 10^3 kg/m^3? given; bulk modulus of water k= 2.0 x 10^9pa, 1atm=1.01 x10^5pa.
28
Aug
what is the density of water at a depth where pressure is 501 atm, given its density at a surface is 1.0 x 10^3 kg/m^3? given; bulk modulus of water k= 2.0 x 10^9pa, 1atm=1.01 x10^5pa. 1atm=1.01 x10^5pa. given its density at a surface is 1.0 x 10^3 kg/m^3? given; bulk modulus of water k= [...]
A particle is projected at angle theta with horizontal with velocity v_0 at t = 0. Find (a) tangential and normal acceleration of the particle at t = 0 and at highest point of its trajectory. (b) the radius of curvature att = 0 and highest point.
28
Aug
A particle is projected at angle theta with horizontal with velocity v_0 at t = 0. Find (a) tangential and normal acceleration of the particle at t = 0 and at highest point of its trajectory. (b) the radius of curvature att = 0 and highest point. the angular speed of A with respect to [...]
The pressure increases by 1.0×104N/m^2. for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex glass cube, 1.0×10^−2m. on an edge at the ocean ‘s surface, decrease by 1.0×10−10m^3?
28
Aug
The pressure increases by 1.0×104N/m^2. for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex glass cube, 1.0×10^−2m. on an edge at the ocean ‘s surface, decrease by 1.0×10−10m^3? 1.0×10^−2m. on an edge at the ocean 's surface decrease by 1.0×10−10m^3 The pressure increases by [...]
Two particles A and B are moving as shown in the figure. At this moment of time, the angular speed of A with respect to B is:
28
Aug
Two particles A and B are moving as shown in the figure. At this moment of time, the angular speed of A with respect to B is: 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 August [...]
The drawing shows a 160-kg crate hanging from the end of a steel bar. The length of the bar is 0.10 m, and its cross-sectional area is 3.2 X 10- m? Neglect the weight of the bar itself and determine (a) the shear stress on the bar and (b) the vertical deflection AY of the right end of the bar PROBLEM 57
28
Aug
The drawing shows a 160-kg crate hanging from the end of a steel bar. The length of the bar is 0.10 m, and its cross-sectional area is 3.2 X 10- m? Neglect the weight of the bar itself and determine (a) the shear stress on the bar and (b) the vertical deflection AY of the [...]
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The drawing shows a 160-kg crate hanging from the end of a steel bar. The length of the bar is 0.10 m ,
what will be change in submerged length of cylinder in water if start accelerating in horizontal direction with acceleration a? ,