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A racing car is travelling along a straight track at a constan
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A racing car is travelling along a straight track at a constant speed of . A camera man is recording the event from a distance of directly away from the track as shown in the figure. In order to keep the car under view in the position shown, the angular speed with which the camera should be rotated, is
Angular displacement, angular velocity, angular acceleration

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Updated on: Dec 17, 2022

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Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

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A racing car is travelling along a straight track at a constant speed of . A camera man is recording the event from a distance of directly away from the track as shown in the figure. In order to keep the car under view in the position shown, the angular speed with which the camera should be rotated, is
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Practice questions from Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

Question 1
Medium
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Views: 5,567

A particle moves along a straight line at a constant velocity of is a fixed point at a distance of from the line .
At time , the particle lies on the foot of the perpendicular drawn from on the line . Find the angular speed of the particle with respect to point at .
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

Question 2
Medium
Views

Views: 5,784

Position vector of a particle moving in an plane at time is .
  1. Path of the particle is a circle of radius and centre at .
  2. Acceleration of the particle has magnitude .
  3. Path of the particle is an ellipse of major axis and minor axis .
  4. Path of the particle is a straight line.
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View 3 solutions

Question 3
Medium
Views

Views: 5,519

A little boy is sitting on a seat of a merry-go-round moving with a constant angular velocity. At , the boy is at position shown in the figure. Which of the graphs shown in the answer are correct? All graphs are sinusoidal. is the -component of the force on the boy. is the co ordinate of the boy. is the angle that the boy's position vector makes with positive -axis. is the component of boy's velocity.
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

Question 4
Medium
Views

Views: 5,949

A particle moves in the plane. The position vector of the particle at any time is . is the angle which its velocity vector makes with the positive -axis. The rate of change of at time is



  4. None of these
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

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Practice more questions from System of Particles and Rotational Motion

Question 1
Medium
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किसी ठोस गोले का द्रव्यमान तथा इसकी त्रिज्या है। इसमें से अधिकतम संभव आयतन का एक क्यूब (घन) काट लिया जाता है। इस क्यूब का जड़त्व आघूर्ण कितना होगा, यदि, इसकी घूर्णन-अक्ष, इसके केन्द्र से होकर गुजरती है तथा इसके किसी एक फलक के लम्बवत् है?
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System of Particles and Rotational Motion

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Question 2
Medium
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The leaning tower of PISA does not collapse inspite of being in a slanting position. Explain.
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Topic:

System of Particles and Rotational Motion

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Question 3
Medium
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Look at the drawing given in the figure, which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is . The mass of the ink used to draw the outer circle is . The coordinates of the centres of the different parts are : outer circle , left inner circle , right inner circle , vertical line and horizontal line . The -coordinate of the centre of mass of the ink in this drawing is
Topic

Topic:

System of Particles and Rotational Motion

Exam

Exam:

JEE Advanced 2009

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Question 4
Medium
Views

Views: 5,228

A particle is moving with a constant speed in a circular path. Find the ratio of average velocity to its instantaneous velocity when the particle rotates an angle .
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Mechanics Volume 1 (DC Pandey)

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Practice questions on similar concepts asked by Filo students

Question 1
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Views: 5,614

No need to solve P1, just P2. P1 is included to show the function. Thank you. In Class Handout 25 P1) The velocity u of a racing car can be modeled by the differential equation shown below: 1 du -4t=1 ip n If the initial velocity of the car (at t = 0 s) is 1 m/s, determine the velocity after 0.75 s using: (a) Integral calculus (b) Euler's method with a step size of 0.25 s (c) Ralston's method with a step size of 0.25 s Plot all velocities (at all steps) for all the above methods on the same graph (using MATLAB/Excel). For the numerical methods in (b) and (c), calculate the true percentage relative errors at all steps. What do you need to calculate the percentage approximate relative errors for each method? No need to calculate the percentage approximate relative errors. P2) Write a MATLAB function my4OrderRK that is defined below. Using this program, determine the solution to the ODE of P1 using a step size of 0.25 s. Calculate the true percentage relative errors at all steps using the analytical solution obtained in P1-(a). How does this solution compare to the solutions in P1-(b) and P1-(c)? function [xi,yi]= my4OrderRK(myfunc,h,n,x0,y0) % Function file: my4OrderRK.m % % Purpose: % To obtain the solution to a first order ODE % dy/dx=f(x,y) using the 4th order Runge-Kutta (RK) method % with initial condition y(x0)=y0 % % Record of revisions (Date Programmer | Change) : % Date ! Name Original program % % Main Variables: % INPUTS: % myfunc handle of function [f]=myfunc(x,y) that % calculates f(x,y) % h (lxl) step size % n (lxl) number of steps % x0 (lxl) initial value of x % y0 (lxl) initial value of y % % OUTPUTS: % xi (n+l)xl) vector of x values{x0,xl,x2,...xn} % yi ((nxl)xl) vector of y values {yo,yl,y2,...yn}
Topic

Topic:

Physics

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Question 2
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Determine the magnitude of a force that allows a particle to move in a spiral path given by r = bo2 in a central force field.
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Physics

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Question 3
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Two runners start simultaneously from the same point on a circular track of radius in the same direction. If their respective speeds are and , they will meet again after
  1. 50 seconds
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  3. 150 seconds
  4. 180 seconds
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Topic:

Mechanics

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Question 4
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Q1. Find tension in the string and force applied on the block so that the block remains at from the wall if length of the string is .
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Mechanics

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Question Text
A racing car is travelling along a straight track at a constant speed of . A camera man is recording the event from a distance of directly away from the track as shown in the figure. In order to keep the car under view in the position shown, the angular speed with which the camera should be rotated, is

Updated OnDec 17, 2022
TopicSystem of Particles and Rotational Motion
SubjectPhysics
ClassClass 11
Answer TypeText solution:1 Video solution: 5
Upvotes529
Avg. Video Duration7 min