Mechanics> show that the acceleration of a disc roll...

show that the acceleration of a disc rolling down an inclined plane of an angle , theta is 2g sin theta/3, while that of a ball is 5g sin theta /7

Dhritimaan Debnath , 6 Years ago

Grade 12th pass

1 Answers

chirag garg

acc. parallel to incline of bottom point which is in contact with incline is zero-

mgsinθ - f = ma __(1) ( a= linear acc. parallel to incline)

f×R = I×α __(2) ( f = frictional force , α= angular acc , I = moment of inertia)

α×R =a __(3) ( net acc zero)

in case of a disc {I = (mR² )/2}, from (1) , (2) and (3),

f = (mgsinθ)/3 and a = (2gsinθ)/3

similarly , in case of a ball or solid sphere{I= (2mR²)/5}

f= (2mgsinθ)/7 and a= (5gsinθ)/7

Last Activity: 6 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

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: 5 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: 5 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

Mechanics> show that the acceleration of a disc roll...

show that the acceleration of a disc rolling down an inclined plane of an angle , theta is 2g sin theta/3, while that of a ball is 5g sin theta /7

Dhritimaan Debnath , 6 Years ago

chirag garg

LIVE ONLINE CLASSES

Other Related Questions on mechanics

mechanics

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.11213141

mechanics

mechanics

mechanics

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

mechanics

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