help@askiitians.com

+91-87964 74404

Grade 11Mechanics

A projectile is projected on a smooth inclined plane in direction perpendicular to line of greatest slope with a velocity of 8m/s Find its speed after 1s

adithya

7 Years agoGrade 11

2 Answers

Saurav

7 Years ago

Instantaneous magnitude of velocity is speed thus for speed to be constant implement magnitude of instantaneous velocity remains constant so direction can change for velocity to be changing

Arun

7 Years ago

Initial speed of the projectile (ball) u = 8 m/s
Let the inclined plane make an angle α with the horizontal. The component of g along the plane is
- g sin α and perpendicular to the plane is g cos α.

Let the ball be projected in the direction perpendicular to the line of greatest slope (i.e. the slope of the inclined plane itself). So The angle of projection θ can be taken as 0.

Now the equations for the horizontal and vertical components of the velocity after time t are given by

vx = u cos θ - g sin α x t
vy = u sin θ + g cos α x t

Velocity after time t = (vx2 + vy2)½

If the angle of inclination α is known we can find v.

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics

1 Answer Available

Last Activity: 9 Months ago

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11
21
31
41

mechanics

1 Answer Available

Last Activity: 9 Months ago

A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass

mechanics

2 Answers Available

Last Activity: 3 Years ago

An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?

mechanics

1 Answer Available

Last Activity: 3 Years ago

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

mechanics

1 Answer Available

Last Activity: 3 Years ago

View all Questions